Books Published

 Kothe Bochner Function Spaces , Birkhauser (2004)  

Refereed Journal Publications

 B-convexity of the space of 2-summing operators, Israel Journal Mathematics 37 (1980) 139-150.  

 Best approximation in (L1 R)¥, Journal of Approximation Theory 32 (1981) 47-63.  

 (with H. Konig and D. R. Lewis) Finite dimensional projection constants, Studia Math. 18 (1983) 341-358.  

 (with J. Elton, E. Odell and S. Szarek) Remarks on the fixed point problem for nonexpansive maps, in ``Fixed Points and Nonexpansive Mappings', Contemporary Mathematics 18 (1983) 87-120.   

 Unconditional bases and fixed points of nonexpansive mappings, Pacific Journal Mathematics 116 (1985) 69-76.  

 Remark on linear selections for the metric projection, Journal of Approximation Theory 43 (1985) 64-74.  

 (with Y. Sternfeld) Convex set with Lipschitz fixed property are compact, Proceeding American Mathematic Society 93 (1985) 633-639.  

 (with J. Arazy) On p-convexity and q-concavity of unitary matrix spaces, Integral Equations and Operator Theory 8 (1985) 633-639.  

 (with Y. Benymini) An operator of Lp without best approximation, Israel Journal Mathematics 51 (1985) 298-304.  

 (with B. L. Lin) Property (H) in Lebesgue-Bochner function spaces, Proceeding American Mathematic Society 95 (1985) 581-584.  

 (with B. L. Lin) A fully convex Banach space which does not have the Banach-Saks property, Journal of Mathematical Analysis and Applications 117 (1986) 273-283.  

 (with B. L. Lin) Denting points in Bochner Lp-spaces, Proceeding American Mathematic Society 97 (1986) 629-633.  

 (with Y. Benymini) Norm one multiplier on Lp(G), Arkiv for Mathmatik 24 (1986) 159-173.  

 On the core of nonexpansive mappings, Houston Journal Mathematics 12 (1986) 537-540.  

 (with B. L. Lin and S. L. Troyanski) Some geometric and topological properties of the unit sphere in a Banach space, Math. Ann. 274 (1986) 613-616.  

 The Browder-Gohde property in product spaces, Houston Journal Mathematics 13 (1987) 235-240.  

 A note on multiplicatively prime ideals of operators, Proceeding American Mathematic Society 101 (1987) 462-464.  

 k-uniform rotundity is equivalent to k-uniform convexity, Journal of Mathematical Analysis and Applications 132 (1988) 349-355.  

 A uniformly asymptotically regular mapping without fixed points, Canadian Mathematics Bulletin 30 (1987) 481-483.  

 (with B. L. Lin and S. L. Troyanski) Characterizaions of denting points, Proceeding American Mathematic Society 102 (1988) 526-528.  

 (with J. E. Jamison) A result on hermitian o0erators, Glasgow Mathematical Journal 13 (1988) 71-72.  

 Strongly unique best approximation in uniform convex Banach spaces, Journal of Approximation Theory 56 (1989) 101-107.  

 The isometries of L2(W,X), Illinois Journal of Mathematics 33 (1989) 621-630.  

 A counterexample of hermitian liftings, Proceeding Edinburg Mathematic Society 32 (1989) 255-259.  

 A remark on the sum of proximinal subspaces, Journal of Approximation Theory 58 (1989) 55-57.  

 The isometries of H¥(E), Pacific Journal of Mathematics 143 (1990) 69-77.  

 The isometries of Hp(K), Journal Australian Mathematic Society 50 (1991) 23-33.  

 Full 2-convexity in Bochner Lp-spaces, Rocky Mountain Journal Mathematics 21 (1991) 1071-1081.  

 (with D. N. Kutzarova, P. L. Papini, and X. T. Yu) On some geometric properties concerning closed convex sets, Colletanea Mathematica 42 (1991), 177-188.  

 Some remarks of drop property, Proceeding American Mathematic Society 115 (1992) 441-446.  

 (with X. T. Yu) Some remarks drop of the nearly uniformly convex set, Arch. Math. 59 (1992) 581-587.  

 (with X. T. Yu) The weak drop property on closed convex sets, Journal Australian Mathematic Society 56 (1994) 125-130.   

 (with J. E. Jamison and A. Kaminska) Isometries of Musielak-Orlicz spaces II, Studia Math. 104 (1993) 265-287.  

 (with N. Carothers and R. Haydon) On isometries of Lorentz function spaces, Israel Journal Mathematics 84 (1993) 265-287.  

 A remark on the Singer-orthogonality in norm linear spaces, Math. Nachrichten 160 (1993) 325-328.  

 An unbounded closed nearly uniformly convex set, Archiv der Mathematik 60 (1993) 79-84.  

 (with L. Drewnowski and A. Kaminska) On multipliers and L- and M-projections in Banach lattices and Kothe function spaces, preprint  

 Unrestricted products of contractions in Banach spaces, Journal of Nonlinear Analysis, 24 (1995), 1103-1108.  

 A remark of contraction semigroup on Banach spaces, Bulletin of London Mathematic Society 125 (1995) 169-172.  

 (with K. K. Tan and H. K. Xu) Demiclosedness principle and asymptotic behavior for asymptotically nonexpansive for asymptotically nonexpansive mappings, Journal of Nonlinear Analysis 24 (1995) 929-946.  

 (with H. Sun) Some geometric properties of Lorentz-Orlicz spaces, Archiv der Mathematik 64 (1995) 500-511.  

 (with J. M. Dye, T. Kuczumow and S. Reich) Convergence of unrestricted product of nonexpansive mappings in spaces with the Opial property, Journal of Nonlinear Analysis, 26 (1996) 767-773.  

 Asymptotic behavior for asymtotically nonexpansive mappings, Journal of Nonlinear Analysis 26 (1996), 1137-1141.  

 On the extension of 2-polynomials, Journal Mathematical Analysis and Applications 193 (1995) 795-799.  

 Extreme properties of contraction semigroup on c0, Semigroup Forum 53 (1996) 208-211.  

 k-uniform rotundity of Lorentz-Orlicz spaces, Journal of Mathematical Analysis and Applications 204 (1996), 29-45.  

 Maximality of rearrangement invariant spaces, Bulletin of the Polish Academy of sciences Mathematics 44 (1996), 381-390.  

 Maximal norm of C(S), Bulletin of London Mathematic Society 29 (1997), 345-349.  

 The average distance property of Banach spaces, Archiv der Mathematik 68 (1997) 496-502.  

 (with H. Sun) Normal structure of Lorentz-Orlicz spaces, Annales Polonici Mathematici 67 (1997) 147-168.  

 (with H. Sun) Extremity in Kothe-Bochner function spaces, Journal Mathematical Analysis and Applications, 218 (1998) 136-154.  

 Stability of the fixed point property of Hilbert spaces, Proceeding American Mathematic Society 127 (1999) 3573-3581  

 (with D. Kutzarova) Remarks about Schlumprecht space, Proceeding American Mathematic Society 128 (2000) 2059-2068  

    Stability of some properties in Kothe-Bochner function spaces, 347-357, Lecture Notes in Pure and Applied Mathemaicts, 213, Dekker, New York, 2000.  

   (with Teck-Cheong Lim, C. Petalas, and T. Vidalis) Fixed points of isometries on weakly compact convex sets. Journal Mathematical Analysis and Applications 282 (2003), 1-7.  

   (with Qingying Bu) Radon-Nikodym property for the projective tensor product of Kothe function spaces, Journal Mathematical Analysis and Applications 293 (2004) , 149-159.  

 Extrme points of Banach lattices related to conditional expectations, Journal Mathematical Analysis and  Applications 312 (2005) 138-147. 

 (with Rudong Chen and Yisheng Song)  An approximation method for strictly pseudocontractive mappings of Browder-Petryshyn type,  Journal of Nonlinear Analysis, 64(2006) 2527-2535

 (with A. Kaminska) On the extensions of homogeneous polynomials,  Proceeding of Amermercan Mathematical Society  137 (2007), 2471-2482.

 Generalized bi-circular projections, accepted by Journal of Mathematical Analysis and Applications 340(2008), 1-4. 

 extensions of 2-homogeneous polynomial, Acta Mathematica Sinica, 23(2007), 965-972 

 (with P.N. Dowling and B. Turett) Direct sums of renormings of  l₁  and the fixed point
property,  Nonlinear Analysis, 73 (2010) 591-599.

 (with Cleon S. Barroso) On the weak-approximate fixed point property, accepted by Journal of Mathematical Analysis and Applications, 365 (2010) 171-175.

Isometric shifts  on $(c oplus X)_infty$,   Journal Mathematical Analysis and Application 384 (2011) 198-203.

 (with C. S. Barroso, O. F. K. Kalenda) On the approximate fixed point property in abstract spaces, Mathematische Zeitschrift 271 (2012) 1271-1285.

( B. Sari and  B. Zheng)  Norm Closed Ideals in $L(ell_M)$,  accepted by Proceeding of the AMS.

Fixed point theory and nonexpansive mappings, Arab J. Math (2012) 495-509.

(with A. Kaminska) Banach envelops of p-Banach lattices, 0<p<1, and Cesaro spaces,  Functiones et Approximatio (2014), 297-306

(with Wen Zhang and Bentuo Zheng) Stability of ball proximinality, J. Approx. Theory 183 (2014), 72-81.

(with Wen Zhang and Bentuo Zheng) Ball proximinal and strongly ball proximinal spaces, Journal of Convex Analysis 22(2015) 673-685.

(with Yunbai Dong and Bentuo Zheng) On Banach-Stone type theorems in uniform multiplicative subgroup of C(K)-spaces, Acta Matgenatuca Scuebtua, Wuhan Institute of
Physics and mathematics, The Chinese Academy Sciences, accepted

(with Yunbai and Bentuo Zheng) On Banach-Stone type theorems in uniform multiplicative subgroups of C(K)-spaces. Acta Math. Sci. Ser. B (Engl. Ed.) 38 (2018), no. 6, 1912–1920. 46E15 (46E25)

(with Yunbia Dong and Bentuo Zheng) An optimal linear approximation for a class of nonlinear operators between uniform algebras. J. Math. Anal. Appl. 467 (2018), no. 1, 432–445.

Refereed Conference Publications

There is an equivalent norm on l_1 that has the fixed  point property,  Nonlinear Analysis  68(2008), 2303-2308.  

 Renorming of l₁ and the fixed point property,  Journal of Mathematical Analysis and Applications,
362 (2010) 534-541.

(with Sun Kwang Kim and Han Ju Lee)       The Bishop-Phelps-Bollolobas property for operators from $L_infty(mu)$ to uniformly convex Banach spaces,  Journal of  Convex Analysis 17 (2016) 243-249.

Corrigendum to the paper ``stability of ball proximality, J. Approx. theory 183 (2016) 72-81'', J of Approx. Theory 205 (2016) 149-152.

Non-Refereed Publications

 On Lorentz sequence spaces d(w,p) for 0<p<1, in Longhorn Notes-Texas Functional Analysis Seminar 1985-1986 151-156.  

 (with B. L. Lin and S. L. Troyanski) A characterization of denting points of a closed bounded convex set, in Longhorn Notes-Texas Functional Analysis Seminar (1986-1987) 99-101.  

 (with R. Haydon) Ultrapower of rearrangement-invariant function space I, in ``Banach Space Theory' Contemporary Mathematics 85 (1989) 253-280.  

 (with B. L. Lin and S. L. Troyanski) Some geometrical and topological properties of the unit sphere in a normed linear space , in ``Banach Space Theory' Contemporary Mathematics 85 (1989) 339-344.  

 (with J. M. Dye, T. Kuczumow and S. Reich) Random products of nonexpansive mappings in spaces with the with the Opial property, in ``Banach Spaces' Contemporary Mathematics 144 (1993) 87-93.  

 L-projections on Banach lattices, in ``Proceedings of the Second Conference on Function Spaces' Marcel Dekker, (1995) 265-279.  

 (with A Kaminska and H. Sun) Uniformly normal structure of Orlicz-Lorentz spaces, in ``Interaction Functional Analysis, Harmonic Analysis and Probability' Marrel Dekker, (1995) 229-238.  

(with D. Kubiak) On isometric copies of $ell_infty$ in  Ces`aro-Orlicz sequence spaces, revise

(with Yunbai Dong and Bentuo Zheng) An approximate condition for composition
operators between uniform algebras, in progress.

(with Yunbai Dong and Bentuo Zheng) A generalization of the Gelfand-Kolmogorff theorem, Publ Math Debrecen (2019) 263-268

The fixed point property and Nakano spaces, preprint

Presentations - Conference (refereed *)

There is an euivalent norm of l  that has the fixed point property , May 24, 2006 Miami University, Oxford, Ohio

Function Spaces V (August 8-September 3 1998 at Poznan) Stability of some properties in Kothe-Bochner function spaces

An equivalent norm of  l ₁ that has the fixed point property, 1044 AMS meeting at Huntsville, Alabama October 23-25 2008

Fixed point theory and nonexpansive mappings, 1087 AMS meeting at University of Mississippi Oxford MS March 3, 2013

Other Presentations (refereed *)

Ball Proximinal and Strongly Ball Proximinal  Spaces, seminar talk on 9/12/2014

Appendix A

Appendix B

Appendix C

Appendix D

Appendix E