CURRICULUM VITAE
I- GENERAL INFORMATION
II. Scientific Activities and Publications
III. Pedagogic Activities
IV. Cultural and Scientific Activities
V. Employment and Administrative
History.
VI. Administrative Assignments (in
Descending Order)
VII. Other professional services
I- GENERAL INFORMATION
First Name:
Salah
Last Name :
Mecheri
Date and place of birth : 15/03/1958 Tebessa, Algeria
Institution : King Saud University
College : Science
Department : Mathematics
Address: King Saud University, College of Science, Department of Mathematics
P.O.Box 2455, Riyadh 11451, Saudi Arabia
E.mail : [email protected]
Phone number : 00966 1467 6517 (office)
00966501874833 (Mobile)
Fax number :
00966 1467 6512
Resarch interest: Functional Analysis, Operator theory, Operator Matrix, Spectral theory, Best Approximations.
University Degrees :
Doctorate (Doctorat d’ état en Mathématiques),
University of Annaba (Algeria), December 1999.
Advisor: Prof.Dr. J.Charles, University Montpellier II, France
During 1995-1998, when I visited the University six months each year.
Major Area: Functional Analysis, Operator theory
Thesis title: On the range and the Kernel of a Generalized derivations
Magistere (Doctorat 3eme cycle) in Mathematics
Annaba University (Algeria) May 1987.
Option: Partial Differential Equations
Thesis Title: On the Regularity of Elliptic equations
Bachelor Degree in Mathematics (Diplôme des Études Supérieures en Mathématiques), University of
Annaba, July 1983.
Option: Functional analysis
II. Scientific Activities and
Publications
1. Scientific Production
2. Conferences and Meetings
3. Refereed Books and Monographs
4. Jury member
5. Research Activities
6. Theses examined
7. Theses supervised
1. Scientific Production:
.1
Published articles (in refeered Journals)
S. Mecheri, Global Minimum and Orthogonality in Cp- Classes, Math. Nachr, 280(2007)
, 784-801.
S. Mecheri, Weyl’s theorem for algebraically class A operators, Bull Belg. Math. Soc.,
14(2007), 239-246
S. Mecheri, Generalized Weyl’s theorem for Posinormal operators, Math. Proc.Royal
Irish.Acad 107A(2007),20-28 .
S. Mecheri, A New characterization of the orthogonality in the sense of Birkhoof,
Czech.Math.Journal, 57.(2007), 697-703.
S. Mecheri, An extension of Fuglede-Putnam theorem to semihyponormal operators, Far
East.J.Math.Sc., 24(2007), 251-257.
S. Mecheri, On the Riesz Idempotent for a calss H(q) operators, Math. Proc.Royal
Irish.Acad 107B(2007), 120-127.
S. Mecheri, Weyl type theorems for posinormal operators , Math. Proc.Royal
Irish.Acad 107B(2007), 11-17.
S. Mecheri,j-Gateaux derivative and orthogonality in C¥-classes, J. Anal. Appl, 2(2007).
S. Mecheri, Best Approximant and orthogonality in C1-classes, J . Ineq. Pure Appl.Math , vol 7,
n2(2006), Article 77(electoronic ).
S. Mecheri, Weyls theorem for algebraically (p,k)-quasihyponormal operators, Georgian
Math.J., 13 (2006), 1998-2007 .
S. Mecheri , Generalized D-symmetric operators, Acta Sci.Math (Szeged), 72(2006), 367-372.
S. Mecheri,K.Tanahashi, A.Uchiyama, An extension of Fuglede-Putnam, to p-hyponormal or
class Y operators, Bull.Koren Math.Soc., 43(2006), 747-753.
S. Mecheri and Smail Bouzenada,Similarity orbits and finite operators, J. Pure Math., 2(2006),
12-18.
S. Mecheri, Generalized Weyl’s theorem for algebraically (p,k)-quasihyponormal operators,
Kungpook.Math.J, 46(2006), no. 4, 553-563.
S. Mecheri, General;ized a-Weyl’s theorem for some classes of operators, Nihonkai Math. J,
17(2006), 155-165.
S. Mecheri, Gateaux derivative and orthogonality in Cp-classes, J . Ineq. Pure Appl.Math (JIPAM),
vol.7, 2 (2006) , Article 57(electronic).
S. Mecheri, Non normal Derivations and Orthogonality, Proc. Amer. Math. Soc., 133
(2005), 759-762.
S. Mecheri, Generalized Finite operators, Demonstratio.Math, 38(2005),163-167.
S. Mecheri, Another version of Anderson Inequality in the Ideal of all compact operators,
J.Ineq. Pure Appl. Math , vol 6, n3(2005).
S. Mecheri, On the range of elementary operators, Integral. Equations operator theory,
53(2005), 403-409.
S. Mecheri and A.Bachir, A positive Answer to the conjecture by Fong and Istratescu,
Bull. Korean Math.Soc, 42 (2005) no4, 871-875.
S. Mecheri, An extension of Fuglede Putnam theorem to (p,k)-quasihyponormal operator,
Scientiae Math.Japonicae, 62(2005), 259-264.
S. Mecheri, On the Normality of operators, Revista Colombiana. Math, 39(2005), 87-95.
S. Mecheri, Generalized derivation and double operator integrals, Georgian Math.J,,
12(2005), 717-726.
S.Mecheri, Gateaux derivative and orthogonality in C1-classes, J . Ineq. Pure appl.Math
, vol 6, n4(2005).
S. Mecheri, Best L (x, µ)-approximant, East Journal on Approximation, 16(2004),1-8
S. Mecheri, Another version of Maher's inequality, J. Anal. Appl (Z. Anal. Anw),
23(2004), no.2, 303-311.
S.Mecheri, Some variants of Webers Theorem, Math.Proc.Roy. Irish Acad, 104A (2004),
no 1, 67-73.
S. Mecheri, An Extension of the Fuglede-Putnam theorem to p-hyponormal operators., J.
Pure Math., 21(2004), 25-3 .
S. Mecheri, S. Mecheri, Generalized P-symmetric operators, Math.Proc.Roy.Irish Acad ,
104A(2004), no.2, 173-175.
S. Mecheri,, A Generalization of Fuglede-Putnam theorem, J. Pure Math, 21(2004), 3138.
S. Mecheri,On The range and the kernel of the elementary operator, Acta Mathematica
Universtatis Comenianae, 72(2003), 191-196 .
S. Mecheri, Range Kernel and Elementary operators, J.Pure.Math, 20(2003),1-8.
S. Mecheri, Orthogonality and Derivation Ranges, Int. Math.Jou.Vol. 3, 2003. no. 1, pp.
21-28.
S. Mecheri, Another version of Anderson’s Inequality in Norm Ideal. Int .Math.Jour
, Vol. 3, 2003. no. 1, pp. 29-40.
S. Mecheri , Global Minimum and Orthogonality in C1 Classes, J. Math. Anal. Appl ,
287(2003), 51-60 .
S. Mecheri, Some variants of Anderson Inequality in C1 Classes, J. Ineq.Pure. Appl.
Math , issue 1, article 24, 2003.
S.Mecheri, Generalized Maher and Anderson’s Inequality I, International Jour.Math &
Math.Sci , 52(2003), 3281-3297.
S. Mecheri, Generalized Maher and Anderson’s Inequality II, International Jour.Math &
Math.SC , 53 (2003)3355-3372.
S. Mecheri, Finite operators, Demonstratio Math, 35(2002), 357-366.
S. Mecheri and A.Bachir, Generalized derivations modulo the ideal of compact operators,
Int. J. Math& Math.Sc, 32(2002), 501-506.
S.Mecheri, Orthogonality in P-Schtten classes, J.Appl.Math. 8(2002),441-447 .
S. Mecheri, Weak finite operators, J.Pure Math, 19(2002), 81-85.
S. Mecheri, On Minimizing , Serdica Math.Jour, Vol.26, n°2 (2000) 119-126.
S. Mecheri, Some remarks on the range of a generalized derivation (in Russian),
Problemy Matematicheskogo Analiza (Russia)Vol. 20(2000), 111-119
S. Mecheri, On the range of a generalized derivation. Function theory and
applications. J. Math. Sci. (New York) 102 (2000), no. 5, 4429 - 4435.
S. Mecheri, On the Weak closure of the range of a derivation, Jour. Appl. Math, 2(2000),
1153-1157.
S.Mecheri, Examples of Finite operators, Alg.Numb. Theor, 1(2000), 47-44.
S. Mecheri, Derivation Ranges and the Identity, Proceeding of the 37th Science
WeekV1(2000) 150-155. http://faculty.ksu.edu.sa/smecheri/Documents/Damscu.pdf
S. Mecheri, Commutants and Derivations Ranges, Czechoslovak Mathematical journal,
49(1999), 843-847.
S. Mecheri, L’image et le Noyau d’une dérivation (Frensh), Annales de Mathématiques,
6(1999), 321-325.
S. Mecheri, Derivation ranges, Linear Algebra & its Applications , 279(1998) 31-38.
S. Mecheri, On Minimizing , Annaba University Publication n4 (2000) 1-10.
S. Mecheri, On the range of the operator , Annaba University Publication n5(2000)10-17.
S.Mecheri, On the weak operator topology, Annaba University Publication n3 (2000) 1-9.
S. Mecheri, An Extension of Penrose's inequality on generalized inverses to the von
Neumann-Schatten classes Cp, Lin.Alg. Appl., (Accepted)
S. Mecheri, A Fuglede-Putnam type theorem, Integral equation operator theory, Bull.
Bel. Math. Soc, (submitted)
S. Mecheri, A note on Fuglede-Putnam type theorem for (p,k)-quasihyponormal operators,
JMAA., (submitted).
S.Mecheri, Quasisimilarity and Compact Perturbations, Acta.Sci.Math (Szeged),
(submitted)
S.Mecheri and S.Bouzenada,Finite operators and Compact Perturbations.,
Comm.Korean.Math.Soc., (submitted)
S.Mecheri, Range-Kernel orthogonality and Finite operators, JMAA, (Submitted).
S.Mecheri,Orthogonality and Finite operators, Math.Nachr, (Accepted).
S.Mecheri and K. Tanahashi, Weyl’s type theorems for (p,k)-quasihyponormal
operators, Glasgow Math. J, (accepted).
S.Mecheri,A generalized Fuglede-Putnam’s theorem, MIA, (accepted).
S.Mecheri, Numerical ranges and Finite operators, Acta Applicandae. Math, (accepted).
S.Mecheri, Why to solve the operator equation AX-XB= T, Pan. Amer.J.Math. (accepted).
S.Mecheri, Fuglede-Putnam's theorem for Y-classes or log-hyponormal operators, Studia Math,
(2007), accepted
S.Mecheri,Putnam-Fuglede's theorem for dominant or (p,k)-quasihyponormal operators,
Extracta Mat, (2007). accepted
S.Mecheri, An extension of Putnam-Fuglede's theorem for (p,k)-quasihyponormal operators,
Math J.Ineq. Appl. (2007). accepted .
S.Mecheri, C*-algebras and generalized p-symmetric operators, Lin.Mult. Lin. Alg, (2007).
accepted .
SMecheri, On the Kleinecke-Shirokov theorem, Compositio Math (2007). Submitted
S.Mecheri, On the closure of the range of elementary operators, Acta Math Sinica, (2007).
Submitted
S.Mecheri, A remark on Weyl type theorems, J. Korean. Math. Soc, (2007). accepted
S.Mecheri, Quasisimilarity and compact perturbations, Integral Equations& Operator
theory, (2007). Accepted
S.Mecheri, An extension of Putnam-Fuglede's theorem to a class A operators, Math. Ineq. Appl,
(2007). Submitted
S.Mecheri, On quasi-class A operators, Acta. Math. Sin, (2007).
S.Mecheri, On the closure of the range of elementary operators and double operator integrals,
Candadian Math. Bull, (2007). Submitted .
S.Mecheri, and A.Uchiyama, An extension of Fuglede Putnam-theorem to class A operators,
Math. Ineq. Appl, (to appear).
S.Mecheri, Elementary operators and double operators integrals, Bull Australian.Math.Soc,
Submitted .
S.Mecheri and S.Bouzenada, Some properties of Finite operators, Demonstratio
Math, accepted.
2. Conferences and Meetings :
*On the Kleineck-Chirokov theorem, congress ICHFM07 in Zaragoza organized by Frensh
Spanish Association of Mathematics, 9-13 Jul, 2007.
*On the operator equation AX-XB=C and its applications in quantum mechanics, One day
Algebra, KFUPM, March,1,2005.
*Best approximants and its application in Quantum chemistry, One day Analysis and
Applications, KFUPM, March 27, 2005
*A Generalization of Webers Theorem, The Sixth Meeting of Saudi Association for Mathematical
Sciences, King Saud University, April 9-10 2002.
*On the Range of a Generalized Derivation , Fifth Pan African Congress of Mathematics
(PACOM’2000).
*Generalized Derivation and the Identity, the VIII International Conference
dedicated to
Academician M.Kravchuk (May 11-14, 2000, Kyiv, Ukraine).
*On the Commutant of an operators and its Powers, Rencontre 2000 May 21-24, 2000 Algeria.
*On the Range and the Kernel of a Derivation, Congrés International de Mathématiques de
Rabat, 12- 14 April 1999.
*On the Orthogonality, Congrés National de Mathematiques, Université de Annaba , May 1999.
*On the weak operator Topology, Colloque National d’analyse et Applications, Université de
Mostaganem, Octobre (1999).
*L’Image et le Noyau d’une Derivation, National Congress of Functional Analysis and its
Applications, 17-19 October (1998) Sidi Bel Abbes University Algeria.
*Commutants and Derivation Ranges, the 4th International Jordanian Mathematics
Conference, Aug 24- Aug 26, 1998.
*Derivation Ranges and the Identity, 37 th 2. Science Week, 1-6 November 1997, SYRIAN Arab
Republic.
*L’image d’une Derivation et L’identité, National Conference of Mathematical Analysis and its
Applications. May 97 (RAMA97) M’sila University , Algeria.
3. Refereed Books and Monographs
*S. Mecheri., Some recent results on operator
Commutators and related operators with
applications.
*Research Monograph (Book series) (280 pages
contains new and original results of the author ),
in preparation
*Analyse Mathematiques Séries. Batna University
Press 1998.
*Fonctions de Plusieurs Variables et Integrales
Multiples ; Batna University Press 1997.
4. Visitings
*Department of Mathematics, University
of Latkia, Syria August 1993.
*Department of Mathematics, University
of Montpellier II, (France) 1992, 1993,
1994
*Department of Mathematics, Jordan
university, 1999.
5. Jury member:
*« Etude spectrale des operateurs hyponormaux ».
Bouznada Mohamed, Defeded on jun 1998. (Master
thesis).
*« Etude d’une Equation elliptic degeneree du deuxieme
order ». Defended on 2000. (Master thesis).
*« Derivation Ranges and the Identity». Defended on 1998.
Messaoudane Hadia (Master thesis).
*“Orthogonality in the sense of Birkhoff”. Defended on March
2001. A.Segress (Master thesis).
*Qusi-Linear Maps between Banach Spaces and their
Applications, Defended on 2004. Haifa (PHD thesis).
*On the range and the kernel of a Generalized Derivation
Defended on 2002. Nora Ahmed (PHD thesis).
6. Research Activities
a) Head of a research Project
1. Project Title1.
Commutator Approximants, Code
number : B*1201/2/98, agreement
date: January 1st 1998,
duration: 3 years (Ministry of
Higher Education.
2. Project Title2.: On the range and
the kernel of elementary
operators supportted by the KSU
research center project
Math/1422/10
3. Project Title: Best Approximant
and orthogonality, supported by
the KSU research center project
no- Math/2005/05.
4. Project Title3.: Numerical ranges
and finite operators supportted by
the KSU research center project
Math/2006/4
5. Project Title 4.: On Generalized aWeyl’s theorem for some classes of
operators supportted by the KSU
research center project
Math/2007/10
b) Member and expert for the National
Agency for the Development of
University Research.
7) Theses examined:
1. Segress Abdelkader, Propriete des classes
d’operateur et l’orthogonality, Master ,
University of Mostaganem, 1997.
2. A.Noura, On Normoloid operators, Master,
University of Constantine, 1998.
3. H.Hamouda , On the closure of the range
of certain operators, Doctorat, University
of Mostaganem 1999.
8) Theses supervised:
1.Messaoudane Hadia, Sur la Classe de
Joel.Anderson, Master, Annaba
University, 2000.
2.Smail. Bouznada , Master, Annaba
University, 1999
3. Bouznada Smail., Compact perturbation
Similarity orbits and finte Operators,
Doctorat, Annaba University , 2001
4. Nasli Bekir, On Fuglede-Putnam’s
theorem, Doctorat, Mostaganem
University, 2003
III. Pedagogic Activities
Teaching :
*Course SEM310 ( Analysis II and Algebra I), University of Oum-el-Bouaghi (1987 to 1994). And
at University of Tebessa (1998 to 2000).
*Course SEM300 ( Analysis I), University of Oum-elbouaghi (1989/1990)
*Course SEM301 ( Series and Generalized Integrals), University of Tebessa (1997/98)
*CourseTM11 ( Numerical Analysis I) University of Tebessa (1996/97).
*Course SEM305 (Complex Analysis I ), University of Oum-el-bouaghi (1991 to1994). And at
University of Tebessa (1996 to 1998).
*Course SEM308 (Advanced course in Ordinary Differential Equations ), University of Oum-elBouaghi (1993/96).
*Course SEM304 ( Measure and Integration ), University of Tebessa (1997/98).
*Cours SEMX ( Applied functional Analysis) University of Tebessa (1999/00).
*Some topics in Partial Differential Equations, Graduate course, University of Tebessa
(2000/2001).
*Course in Advanced Calculus, El Fateh University, Tripoli, Lybia.
(1994/1995).
*Cours M581 Functional Analysis 1 (Master)
*Cours M582 Functional Analysis 2 (PHD)
*Cours M585 Compex Analysis (Master)
IV. Cultural and Scientific Activities.
Organization of Scientific Manifestations:
i) Member of the Organization Committee of the National
Mathematical Congress 1999, Department of Mathematics,
University of Annaba, May 17-19, 1999.
ii) President of the Organization Committee of the 2nd National
Symposium of Applied Mathematical Analysis, May 7 - 9, 2000,
University of Tebessa.
Other Activities:
Membership of Scientific Associations:
A)
1. Member of Saudi Association for Mathematical Sciences
2. Member of the Algerian Mathematical Society
B)
Committees:
1. Coordinator of Analysis Committee, King Saud University, Dept.Math
2. Member of the postgraduate committee, King Saud University, Dept.Math
c)
Councils:
1. Chair of the scientific council at Tebessa University Algeria
2. Member of the Scientific council Faculty of Science, Tebessa University
V. Employment and Administrative
History.
*Employment History (in Descending Order––Last Given First):
* Full Professor, king Saud University, 2006-,2007
*Full Professor, king Saud University, 2005-,2006
* Full Professor, King Saud University, 2004 -2005
* Full Professor, King Saud University, 2003 -2004 .Distinguished Professor
* Associate Professor, King Saud University 2002- 2003
* Associate Professor, King Saud University 2001- 2002
*Associate Professor, Zawia University, Lybia 2000-2001
*Associate Professor, Tebessa University Algeria 1999-2000
*Assistant Professor, Tebessa University From 1987 to 199
* Lecturer , Annaba University from 1985 to 1987
VI) Administrative Assignments (in
Descending Order):
1. Head of the institute of Mathematics,
Tebessa University
2. Chair of Technology Institute Tebessa
University
VII. Other professional services
Editor:
Australian journal of Mathematical analysis and Applications
Reviwer :
Mathematical Reviews, Zentralblatt Math
Referee :
Proceedings of the American Mathematical Society
Journal of Functional Analysis
Canadian Bulletin.Math.
Demonstratio Math.
Australian Journal of Mathematical Analysis and Applications.
IJMMS.
Rocky Moutain. J. Math.
Evaluation of papers for promotion to associate professor and
professor For several universities abroad.
Research collaboration:
*Prof.Dr. Kotaro Tanahashi
Department of Mathematics
Tohoku Pharmaceutical University
Sendai 981-8558
Japan
*e-mail: [email protected]
*Prof.Dr. Atsushi, Uchiyama
Department of Mathematics
Sendai National College of Technology
Sendai, 989-3124
Japan
*e-mail: [email protected]