activity
20072020
most citedFixed point properties for semigroups of nonlinear mappings and amenability

11 citations · 23 across the 6 of their papers we have counts for

collaborators

7 papers

math.FA2020★ 9 cited

Fixed point properties for semigroups of nonlinear mappings on unbounded sets

Anthony T. -M. Lau, Yong Zhang

A well-known result of W. Ray asserts that if is an unbounded convex subset of a Hilbert space, then there is a nonexpansive mapping : that has no fixed point. In t…

math.FA2020

Algebraic and analytic properties of semigroups related to fixed point properties of non-expansive mappings

Anthony T. M. Lau, Yong Zhang

The purpose of this paper is to give an updated survey on various algebraic and analytic properties of semigroups related to fixed point properties of semigroup actions on a non-em…

math.FA2015

Characterisations of Fourier and Fourier--Stieltjes algebras on locally compact groups

Anthony To-Ming Lau, Hung Le Pham

Motivated by the beautiful work of M. A. Rieffel (1965) and of M. E. Walter (1974), we obtain characterisations of the Fourier algebra of a locally compact group in term…

math.FA2015★ 1 cited

A property for locally convex -algebras related to Property and character amenability

Xiao Chen, Anthony To-Ming Lau, Chi-Keung Ng

For a locally convex -algebra equipped with a fixed continuous -character , we define a cohomological property, called property , which is similar to…

math.FA2014

Finie dimensional invariant subspace property and amenability for a class of Banach algebras

Anthony T. -M. Lau, Yong Zhang

Motivated by a result of Ky Fan in 1965, we establish a characterization of a left amenable F-algebra (which includes the group algebra and the Fourier algebra of a locally compact…

math.FA2012★ 11 cited

Fixed point properties for semigroups of nonlinear mappings and amenability

A. T. -M. Lau, Yong Zhang

In this paper we study fixed point properties for semitopological semigroup of nonexpansive mappings on a bounded closed convex subset of a Banach space. We also study a Schauder f…