Semigroup of Operators on Dual Banach Spaces

DOI10.2307/2040826zbMath0326.47040OpenAlexW4243895390MaRDI QIDQ4090936

Anthony To-Ming Lau

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/2040826

Mathematics Subject Classification ID

Fixed-point theorems (47H10) General theory of von Neumann algebras (46L10) Groups and semigroups of linear operators (47D03) Means on groups, semigroups, etc.; amenable groups (43A07) Linear operators in (C^*)- or von Neumann algebras (47C15) Topological and differentiable algebraic systems (22A99)

Related Items

Common fixed point property through analysis of retractions ⋮ Nonexpansive retractions and fixed point properties ⋮ Fourier-Stieltjes algebra of a topological group ⋮ Fourier-Stieltjes algebras and measure algebras on compact right topological groups ⋮ Projections on weak*-closed subspace of dual Banach algebras ⋮ Fixed point properties for semigroups of nonlinear mappings and amenability ⋮ Left mean-ergodicity, fixed points, and invariant means ⋮ Hypergroups and invariant complemented subspaces

Cites Work

• Amenable semigroups
• An ergodic property of locally compact amenable semigroups
• Fixed points and amenability: a counterexample
• Extremely amenable algebras
• Invariant means on locally compact groups
• The Trace in Finite Operator Algebras
• Two finite, non‐hyperfinite, non‐isomorphic factors
• Constant Functions and Left Invariant Means on Semigroups
• Fixed Points and Multiplicative Left Invariant Means
• Function Algebras, Means, and Fixed Points
• Topologically Stationary Locally Compact Groups and Amenability
• Extremely Amenable Semigroups II.