Dr. Yong Zhang
Professor,
Department of Mathematics, University of Manitoba
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Address: |
532 Machray
Hall, 186 Dysart Rd, University of Manitoba, Winnipeg, MB, Canada R3T 2N2 |
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Phone: |
1-204-4746934 |
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Email: |
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Banach
algebras and Applications 2019 will be
held at the University of Manitoba, during July 11-18, 2019. |
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Teaching |
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I am teaching MATH
2180 Real Analysis 1 and MATH 1232 Integral Calculus during the Winter term
of 2019. |
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Current Students |
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Landis Wong (M. Sc.) |
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Research |
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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. |
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Editing and Reviewing |
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I
am an editor of the Banach Journal of Mathematical
Analysis. I
am also a reviewer for both AMS Mathematical Reviews and Zentralblatt MATH. |
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Publications |
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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. |
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