Dr. Yong Zhang


Professor, Department of Mathematics, University of Manitoba




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















I will be teaching MATH 2730 Sequences and Series and MATH 3230 Metric Spaces during the autumn semester of 2014. When the term starts Students in the classes may get the course syllabi and other materials from the course websites in JUMP. During the winter semester of 2015 I will be teaching MATH 1700 Calculus II. I would prompt all my students to do exercises assigned to you. If you think you understand the material and do not need to do those exercises, you will most likely fail the course.















Varvara Shepelska (Ph. D.), Reza Ghamarshoushtari (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 Lau, A. T.-M.) Finite dimensional invariant subspace property and amenability for a class of Banach algebras, Trans. Amer. Math. Soc., to appear (see arXiv:1404.3405 or preprint).

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

3.              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).

4.              (With Lau, A. T.-M.) 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).

5.              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).

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

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

8.               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).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

28.          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.

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

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

31.          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.