Personal Info
- Country of residence: Jordan
Information
Personal Data
Name: Roshdi Khalil
Date of Birth: 20/10/1952
Present Post: Full Professor
Present Address: University of Jordan.
Field: Mathematics: Functional Analysis, Operator Theory, and Approximation Theory.
Tel. 0777496378
Email: roshdi@ju.edu.jo
Degrees Held
1) Ph.d McGill University 1978
2) M.Sc.McGill University 1976
3) B.Sc.Kuwait University 1973
Posts Held
1) Full Professor, University of Jordan/1998-
2) Dean of scientific research. Princes Sommaya Univ. 2003(sabbatical year)
2) Full Professor, Jordan University for science and technology, 1997-1998
3) Full Professor, Woman univ.for women, 1996-1997
4) Full Professor, Bahrain University, 1991-1996
5) Full Professor, Kuwait University, 1988-1990
6) Associate Prof., Kuwait University, 1983-1988
7) Assistant Prof., Kuwait University, 1979-1983
8) Lecturer, McGill University, 1977-1979
Thesis Supervised
1) Toeplits Operators in Banach Spaces. M.SC, 1981
2) Schur Multipliers and absolutely summing operators.Ms.c, 1982
3) A Class of operator ideals. M.Sc 1988
4) Nuclear operators on metric spaces. M.Sc, 1988
5) Stability of operator ideals.M.Sc, 1996
6) Dominated sets in some operator ideal, Ms.c 1996.
7) Orthogonality in Banach spaces, Ms.c 1996.
8)Best Approximation in Vector Valued Function Spaces.Ms.c 2000
9) Extreme points in vector valued function spaces.Ms.c/2001
10) Semi-Groups of operators. Ph.D 2001.
11) Operator ideals in Banach spaces.Ms.c/2002.
12) Geometry Of function and operator spaces. Ph.D/2002.
13. Smooth Points in Operator and function spaces.Msc. 2003
13) Minimal Projections in Banach spaces. Msc. 2005.
14) Best Sim. Approx. in Operator and function spaces. Ph.d 2006
15) New type of orthogonality in Banach spaces. Msc. 2005
16) Remotal sets in vector valued functions. Msc. 2005.
17) Tensor product semigroups. Msc/2008
18) Isometries of certain operator spaces(2009)
19) Extreme points of tensor product of Banach spaces. Msc.(2010)
20) Isometries of tensor product spaces. Msc.2010
Conferences
1) The 84th summer meeting of the American Math.Soc.Ann arbor-Mich.univ.U.S.A.Aug.18-22, 1980.
2) The second Arab math.soc.conf.Amman, Jordan, May 3-8,1981.
3) The 86th summer meeting of the Amer.math.soc.Toronto-
. Univ. Canada.Aug.22-27, 1982
4) Sabbatical year, univ.of Mich. Ann Arbor, U.S.A.1985-1986.
5) American Math.Soc.summer conference, Providence, Rhodeiland, U.S.A.1988.
6) Summer conf.of A.M.S. Minnesota, 1994.
7) Summer Conference of AMS, Toronto, Canada/2000.
8)American univ.math.conference.Sharja-uae.2001
9) University of Sharjah math day. UAE.2003.
10) Al-Ain University, UAE, 2004.
Courses Tought
1) Undergraduate:
1) Calculus I, II, III. 9) Real Analysis I
10)Real Analysis II
2) Linear Algebra 11) Complex Analysis
3) Set Theory 12) Advanced Linear Algebra.
4) Differential Equations. 13) Functions of Several Variables
5) Linear Programming 14) Functional Analysis
6) Optimization Theory
7) Discrete math.
8)Advanced cal.
2) Graduate Courses
1) Harmonic Analysis 6) Complex analysis
2) Measure Theory 7) Functional analysis
3) Advanced Functional Analysis 8) Fourier analysis
4) Theory of Operator Ideals 9). Topics in Functional analysis
5) Theory of Tensor Products in Banach Spaces.
Student Graduation Projects:
1) Vector valued continuous functions 6) Tensor product operators in Hilbert spaces
2) Extreme points of 7) the space L-p, 0<p<1
3) Dual of C(I). 8)The Banach fixed point theorem
4) Extreme points of Lp 9) The Hahn Banach theorem
5) Extreme points of C[0,1].
Professor Roshdi Khalil
Ph.D.McGill University 1978
M.Sc.McGill University 1976
B.Sc. Kuwait University 1973
Referee For: -
1) Journal of Approximation Theory
2) Journal of mathematical analysis and application
3) Rocky Mountain J. of Mathematics
4. Medeterian Journal of mathematics
3) Many journals in the Arab world
Reviewer: Z. Math. And Math. Review
Publications
Total research Papers/104
in different areas of mathematics
Approximation Theory in Banach Spaces
1-Best approximation in -spaces. Proc. Cambridge Phil. Soc. 94(1983)277-279.
2-Best approximation in vector valued function spaces. Rev. colom. de math. X(1985)313-22.
3-Best approximation in tensor product spaces, Numerical functional analysis and optimization,
8(1986)347-356.
4-Chebeshev sets and strictly convex metric spaces,
Tam J . math. 17(1986)9-12.
5-Best approximation in L1-spaces, Journal of Numeric. Func. Analy. and Optimization. 9 (1987)1031-1037
6-Best approximation in metric spaces. Proceeding Amer. Math. Soc., 103(1988)579-586.
7-Best approximation in L(X,Y). Proc. Camb. Phil. soc., 104 (1988)527-531.
8-Best approximation in Lp(X,Y) II. Journal of approximation Theory, 59 (1988)269-299 (with Deeb, W.).
9-Best approximation in Lp(I,X),0<p<1. Journal of approximation Theory, 58(1989) 68-77 (with Deeb, W.).
10-Vector valued Chebechev systems. Rev. de. colom. XXIII (1989)25-33 (with lzamil, A.).
11-Best approx. in function and operator spaces. Num. functional analysis and Optimization.11(1991) 917-927.
12-Best approximation in tensor product spaces Soochow J. of math.18(1992)397- 407(with Hussein, D.).
13-Alternation theorem for C(I,X) and application to best local approximation. Tam. J. math. 24(1993)135-147 (with Alzamil, A.).
14-Alternation theorem for C(I,X) and application to best local approximation. Tam. J. math. 24(1993)135-147 (with Alzamil, A.).
15-Proximinality and unicity in vector valued function spaces. Numerical functional analysis and optimization.15 (1994) 23-29 (with Alzamil, A.).
16-Best approximation in L1(I,X). Proc. Amer. math. soc.123(1995)183-190 (with Saidi, F)
17-Strong proximinality in function spaces. Toyama J. math.30(1996)1-12 (with Saidi , F).
18-Spectral approximation in L(H).Numerical functional analysis and optimaization.21(2000) 693-714 (with Philip, M).
19-Best simultanious approximation in Banach spaces. Journal of approximation. Theoery, 116(2002)369-379 (with Saidi, F.).
20-Best simultanious approximation in Banach spaces. Journal of approximation. Theoery, 116(2002)369-79 (with Saidi, F.).
21-f-proximinality in function spaces. Dirasat, 30(2003) 93-96(with Abushamla, W).
22-Best approximation in locally integrable functions. Dirasat, 30(2003) 102-107.
23-Best approximation in L1-spaces. Journal of mathematical research.10(2001) 43-48.
24-Minimal Projections in tensor product spaces. Rend. Sem. Mat. Univ. Pol. Torino, 60(2003)167-174.
25-Proximinality in Orlicz Bochner spaces.Tam.J.Math. 34(2003) 71-75. (with Khundugji, and Hussein).
26-New class of proximinal subspaces in function spaces. International journal of pure and applied math. 8(2003) 131-136.
27-Remotal sets in vector valued functions. Sci. Math. Jap. 63(2006)395-403 (with Al-Sharif)
28-Proximinality in L1(I,X). Turk. J. Math., 32, (2008), 187-195.
29-Remotality of Closed Bounded Convex Set in Reflexive Spaces. Num. Func. Analysis and Optim. 29(2008) 1166-1170 (with Sababha).
30-30. Best Sim. Approximation in Function Spaces. J. Non Linear Func. Analysis and Differential Equations. 2(2008) 55-60 (with Abu-Sirhan).
31-Best Sim. Approx. In Function Spaces. J. of applied functional analysis. 4(2009)112-121 (with Abu-Sirhan).
32-Remotal sets in vector valued function spaces.. TJNSA Vol. 2 No. 1, (2009) pp. 1-10. (with Sababha).
33-Best Sim. Approx. in L∞(I,X). Indian J. Math. 51(2009)391-400
34-Uniquely remotal sets in Banach spaces. J. computational analysis, Vol. (13), No. (7),(2010) pp. 1233-1239 (with Sababhah)
35-Best approximation in uniform type spaces. European J. Math. Vol. 2, No. 2, 2009, (231-238)
36. Remotal sets and Krein Milman Type Theorem.
J.non-conves linear analysis, 12(2011)5-15(with Sababha)
37. New Results on remotality in Banach spaces. Accepted.
Italian J. of Pure and applied mathematics(with Sababheh).
38. Proximinality in Operator Spaces, Scientiae Mathematicae Japonicae (2012), 249–257.(with Sababheh)
Geometry of Banach Spaces
1-Extreme points of the unit ball of Banach spaces. Toy. J. math. 4(1981)41-45.
2-Contractive operators of certain spaces, Coll. Math. XLIX(1985) 49-52.
3-Isometric multiplication of Hardy Orlicz spaces, Bull. Aust. Math. Soc. 34(1986)177-189 (with Marzuque, M. and Deeb, W).
4-Isometries of Lp(tensor)Lp., Tam. J. Math.16(1985)77-85.
5-A class of extreme contractions in L(lp).Annali di mathematica pure ed applicata, CL(1989)1-5.
6-Extreme points and isometries of phi-nuclear operators on Hilbert spaces. Jour. of Mathematical analysis and application. 148(1990) 147-156.
7-Khalil, R. Orthogonality in Banach spaces, Toy. J. Math. 13(1990)185-205.
8-Exposed and smooth points of some classes of operators. Journal of functional analysis. 103(1992)217-228 (Deeb, W).
9-Extreme points and isometries of nuclearoperators in Banach spaces. Bull. Inst. math. acad.sinica.19(1991) 153-156
(with Salih, M).
10-Orthogonality and Schatten classes in Banach spaces. Soochow J. math. 19(1993)325- 337 (with Hussein, D).
11-Smooth points of vector valued function spaces. Rocky mountain Journal of math.24(1994)505-512 (with Deeb,W).
12-Extreme nuclear operators. Arch. der math. 96(1997)127-135 (with Saidi, F).
13-Smooth points in operator spaces. Demonstrata. math. 4(1996)9-20.
14-Compact extreme operators in Lp-operators. Indian J. of pure and applied math. 29(1998)617-619 (with Grzaslewicz, R).
15-Schatten type classes on sequence spaces. Tam. J. Math. 30(1999)9-20.
16-Geometry of Modulus spaces. Georgian Mathematical Journal. 9(2002)295-302.
17-Isometries of certain operator spaces. Proc. Amer. Math. Soc. 132(2003)1473-1481. (with Saleh).
18-Multi-smooth points in Banach spaces.. Missouri J. Math. 17(2005)76-87 (with Saleh).
19-Isometries of Orlisz Bochner spaces. To appear. Dirasat. (with Khundugji and Hussein).
20-Extreme and Nice operators on certain function spaces. Math. Sci. Japan. 65(2007)1253-1260 (with Saleh).
21-orthogonality in Banach spaces Via best approximation.7(2012)419-430(with A. Alkhawaldah)
22. Extreme type Points in Banach spaces.
JJMS, 4(2011)103-113(with Shgairat)
23. Characterization of isometries via remotality. I.Math.Forum.
5(2010) 29-32 (with Al-Dabbas)
Operator Ideals and Tensor Product Spaces
1-M-ideals in Banach spaces, Revista colom. de math. XVIII(1984)33-40.
2-Tensor product of non locally convex topological vector spaces, Illinois J. Math. 30(1986)594- 601 (with Deeb, W.).
3-Function spaces, absolutely summing operators and applications. Kobe J. of Math. 5(1988), 7-20 (with Ayesh, S).
4-phi--summing operators, J. Mathematical analysis and applications.127(1987)577-584.
5-Dominated sets of p-summing operators. Far East J. of math. (1998)59-68 (with Habeeb, M).
6-Schatten type classes. amk. J. Math. 30(1999)9-20.
7-Some stable of operator ideals. Arc. Math. 37(2001)125-130 (with Aziz, M).
Operator Theory
1-Spectrum of a class of Toeplitz. operators, J. Univ. Kuwt.7(1981),89-4 (Faour, N).
2-On some sequence spaces, Bull. Aust. Math. Soc. 25(1982)231-241.
3-Toeplitz operators on Banach spaces. Bull. U. M. I. 6-2B(1983)229-239 (with Ali, F).
4-Toeplitz operators in vector valued function spaces, J. univ. kwat.12(1985)5-12 (with Faour, N).
5-p-representable operators on Banach spaces, International J. Math. 9(1986)653-658.
6-On the spectrum of weighted shift operator, Houston J. Math.13(1987)1031-1037 (with Faour, N).
7-On a theorem of Weiss. Arch. der math. 65(1995)69-70.
8-Daugaviet equation in vector valued function spaces. Pan. amer. J. math. 6(1996)51-53.
9-Norm estimates of certain operators. Numerical functional analysis and optimization. 1(2000)579-588) (with Alkhalid, K).
10-Neumann Operators on Hilbert spaces. J. Inst. Math. and Com. Sci.14(2001)163-165.
11-Some remarks on minimal projections in tensor product spaces. International J. of Evolution equations no. 3(2009)369--378.
Harmonic Analysis
1-Trace-Class norm multipliers, Proc. Amer. Math. Soc. 79(1980)379-378.
2-The Hankel multipliers, Toyama math. journal. 3(1980)101-110.
3-On the algebra of multipliers, Canadian J. Math. XXXIII (1991)786-794.
4-Multipliers for some spaces of vector valued functions. J. uinv. kuwt. 8(1981)1-8.
5-Pointwise multipliers, J. univ. kuwt. 8(1981)9-17.
6-Multipliers for Schatten classes, Journal of functional analysis 47(1982)305-313.
7-Schure multipliers on compact spaces, J. univ.
kwat.11(1984)191-196.
8-Lp-projections and Schur multipliers. J. univ. kwat.
11(1984)41-47 (with Ayesh S).
9-A remark on Schur multipliers of operator spaces. International journal of mathematics. 3(2003)1411-414.
Complex Analysis
1. The weak Behren property and the corona, Hokkaido. J. of
Math. VIII(1984)119-122 (with Deeb, W. and Younis, R).
2. Some remarks on function algebras, Rend. conti. math.
6(1986)265-269.
3. Inclusions of Hardy Orlicz spaces, International J. Math.
9(1986)429-434.
Semi-groups of Operators
1-One parameter semi groups of operators of Schatten classes Cp, Funkcialaj Ekvacioj,32 (1989)389-394 (with Deeb, W).
2-Two parameter semi groups. J. of applied mathematics and Computational. 156(2004)403-414.(with Al-Sharif).
3-Hille Yoshida type inequality. Rendiconti del Seminario Matematico dell'Universita' e del Politecnico di Torino. 62(2004)165-176 (with Al-Sharif).
4-Positive semigroups of operators. Journal of Computational and applicable mathematics, 7(2009)328-340. (with Al-Shereef, S).
5-Generators of C-semi groups. Math. Studi,27 (2007), no. 2, 139—148(with Al-Sharif)
6-Tensor product semigroups of operators. EJPAM, 3(2010)881-898.(with Edrissi and Al-Mirbati)
7-Positive tensor product semigroups of operators. IJAM,22(2009)793-798(with R. Al-Mirbati)
8- Remotality in Tensor product operators. Accepted.
(with Mirbati and Gharabli)
Differential Equations
1.Tensor product technique and the homogenous Abstract
Cauchy problem. Journal of applied functional analysis,
4(2010)121-139.
2.Tensor product technique and the non-homogenous
Abstract Cauchy Problem. IJAM, Volume 23 No. 1 2010, 137-158
3.Atomic solutions for certain inverse problems. EJPAM, 3(2010)
725-729(with L.Abdullah)
Fractional Calculus
1. Remarks on the fractional derivative. Accepted IJCAM.(with Al-Horani and Sababheh)
Computer Science
1. Lambda type cal. J. of Inst. of math. and comp. sci.
12(1999)213-219 (with Jabri etal.).
Books Published
1. Omer Al-Khayyam book of Algebra/Translated to English/
Center for Moslem contribution to civilizations
2. Differential equations. Dar Almanahij,
Edition 1 1998. (in arabic)
Edition 2/ 2007.
3. Calculus I. Dar Hunain, (with D.Hussein)
Edition 1 1995. (in Arabic)
Edition 2/ 2003
Achievements and Awards
1) Kuwait University Prize for Outstanding
Students, 1971, 1972, 1973.
2) McGill University Award for
Distinguished graduate students 1976
3) Shuman Prize for Young Arab Mathematicians 1988
4) Islamic organization for science prize/1997.
- Years in active
: From
To