Dr. Yong Zhang


Professor, Department of Mathematics, University of Manitoba




532 Machray Hall, 186 Dysart Rd, University of Manitoba, Winnipeg, MB, Canada R3T 2N2












Banach algebras and Applications 2019 will be held at the University of Manitoba, during July 11-18, 2019.










I am teaching MATH 2180 Real Analysis 1 and MATH 1232 Integral Calculus during the Winter term of 2019.








Current Students





Landis Wong (M. Sc.)















My research interest is in the areas of Banach Algebras, Harmonic Analysis and Fixed Point Properties of Semigroups. I am also interested in Boundary Value Problems of Nonlinear Differential Equations.










Editing and Reviewing





I am an editor of the Banach Journal of Mathematical Analysis.

I am also a reviewer for both AMS Mathematical Reviews and Zentralblatt MATH.















1.             (with A. T.-M. Lau) Fixed point properties for semigroups of nonexpansive mappings on convex sets in dual Banach spaces, Studia Mathematica 17 (2018), 67-87.

2.             (with V. Shepelska) Non-weakly amenable Beurling algebras, Indiana University Mathematics Journal 67 (2018), 119-150 (arXiv:1702.06605).

3.             (with V. Shepelska) Weak amenability of central Beurling algebras, Michigan Mathematical Journal 66 (2017) (arXiv:170204409).

4.              (With A. T.-M. Lau) Finite dimensional invariant subspace property and amenability for a class of Banach algebras, Trans. Amer. Math. Soc., 368 (2016), 3755-3775. (arXiv:1404.3405).

5.             (with A. T.-M. Lau) Fixed point properties for semigroups of nonlinear mappings on unbounded sets, J. Math. Anal. Appl. 433 (2016), 1204-1209.

6.             Addendum to ``Amenability properties of Banach algebra valued continuous functions", J. Math. Anal. Appl. 431 (2015), 702-703.

7.             (with R. Ghamarshoushtari) Amenability properties of Banach algebra valued continuous functions, J. Math. Anal. Appl. 422 (2015), 1335-1341.

8.             Weak amenability of commutative Beurling algebras, Proc. Amer. Math. Soc., 142 (2014), 1649-1661. (see also arXiv:1207.5033).

9.             The existence of solutions to nonlinear second order periodic boundary value problems, Nonlinear Anal. 76 (2013), 140-152. doi: 10.1016/j.na.2012.08.010 (see also arXiv:1208.5067).

10.         (With A. T.-M. Lau) Fixed point properties for semigroups of nonlinear mappings and amenability, J. Funct. Anal. 263 (2012), 2949-2977. doi: 10.1016/j.jfa.2012.07.013 (see also arXiv:1207.4531).

11.         2m-weak amenability of group algebras, J. Math. Anal. Appl. 396 (2012), 412-416. doi: 10.1016/j.jmaa.2012.06.037 (see also arXiv:1207.4514).

12.         (With F. Ghahramani and E. Samei) Generalized amenability properties of Beurling algebras, J. Austral Math Soc., 89 (2010), 359-376.

13.          (With M. Abtahi) A new proof of amenability of C(X), Bull. Austral. Math. Soc., 81 (2010), 414-417.

14.          Solved and unsolved problems on generalized notions of amenability for Banach algebras, Banach algebras 2009, 441-454, Banach Center Publ., 91, Polish Acad. Sci. Inst. Math., Warsaw, 2010 (see also arXiv:1207.4511).

15.         (With F. Gheorghe) A note on the approximate amenability of semigroup algebras, Semigroup Forum, 79 (2009), 349-354.

16.         (With Y. Choi and F. Ghahramani) Approximate and pseudo amenability of various classes of Banach algebras, J. Funct. Anal., 256 (2009), 3158-3191.

17.         (With F. Ghahramani and R. J. Loy) Generalized notions of amenability II, J. Funct. Anal., 254 (2008), 1776-1810.

18.         (With A. T.-M. Lau) Fixed point properties of semigroups of non-expansive mappings, J. Funct. Anal., 254 (2008), 2534-2554.

19.         (With F. Ghahramani) Pseudo-amenable and pseudo-contractible Banach algebras, Math. Proc. Cambridge Philos. Soc., 142 (2007), 111-123.

20.         (With H. G. Dales and R. J. Loy) Approximate amenability for Banach sequence algebras, Studia Math., 177 (2007), 81-96.

21.         Approximate complementation and its applications in studying ideals of Banach algebras, Math. Scand., 92 (2003), 301-308.

22.         Unbounded approximate identities in algebras of compact operators on Banach spaces, Math. Proc. Cambridge Philos. Soc., 134 (2003), 187-192.

23.         Weak amenability of module extensions of Banach algebras, Trans. Amer. Math. Soc., 354 (2002), 4131-4151.

24.         Approximate identities for ideals of Segal algebras on a compact group, J. Funct. Anal., 191 (2002), 123-131.

25.         Weak amenability of a class of Banach algebras, Canad. Math. Bull., 44 (2001), 504-508.

26.         Maximal ideals and the structure of contractive and amenable Banach algebras, Bull. Austral. Math. Soc., 62 (2000), 221-226.

27.         Nilpotent ideals in a class of Banach algebras, Proc. Amer. Math. Soc., 127 (1999), 3237-3242

28.         A note on: "Small representations of finite distributive lattices as congruence lattices", Order, 13 (1996), 365-367.

29.         A note on the solvability of singular boundary value problems, Nonlinear Anal., 26 (1996), 1605--1609.

30.         (With S. Chen) Singular boundary value problems on a half-line, J. Math. Anal. Appl., 195 (1995), 449-468.

31.         Positive solutions of singular sublinear Dirichlet boundary value problems, SIAM J. Math. Anal., 26 (1995), 329-339.

32.         Positive solutions of singular sublinear Emden-Fowler boundary value problems, J. Math. Anal. Appl., 185 (1994), 215-222.

33.         Existence of solutions of a kind of singular boundary value problem, Nonlinear Anal. 21 (1993), 153-159.

34.         Existence of nonnegative solutions to a two-point boundary value problem for a nonlinear second-order equation, Shandong Daxue Xuebao Ziran Kexue Ban 27 (1992), 45-56.

35.         On the uniqueness of solutions of neutral functional differential equations, J. Math. Anal. Appl. 161 (1991), 426-439.

36.         Existence of solutions to systems of second-order periodic boundary value problems in n dimensions, Acta Math. Appl. Sinica 13 (1990), 272-284.

37.         A uniqueness theorem of Kamke type for solutions of a class of neutral functional-differential equations, Chinese Ann. Math. Ser. A 7 (1986), 519-527.