Extension of invariant linear functionals: a sequel to Fan’s paper
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- by Anthony Toming Lau PDF
- Proc. Amer. Math. Soc. 63 (1977), 259-262 Request permission
Abstract:
We establish the relationship between certain invariant extension properties for linear functional of K. Fan when a semigroup S acts on a locally convex topological vector space and the existence of a left-invariant mean on the space of almost periodic and weakly almost periodic functions on S.References
- Ky Fan, Extension of invariant linear functionals, Proc. Amer. Math. Soc. 66 (1977), no. 1, 23–29. MR 458111, DOI 10.1090/S0002-9939-1977-0458111-8
- Ky Fan, Orbits of semi-groups of contractions and groups of isometries, Abh. Math. Sem. Univ. Hamburg 45 (1976), 245–250. MR 410470, DOI 10.1007/BF02992919
- Frederick P. Greenleaf, Invariant means on topological groups and their applications, Van Nostrand Mathematical Studies, No. 16, Van Nostrand Reinhold Co., New York-Toronto, Ont.-London, 1969. MR 0251549
- R. D. Holmes and Anthony T. Lau, Non-expansive actions of topological semigroups and fixed points, J. London Math. Soc. (2) 5 (1972), 330–336. MR 313895, DOI 10.1112/jlms/s2-5.2.330
- Robert J. Silverman, Means on semigroups and the Hahn-Banach extension property, Trans. Amer. Math. Soc. 83 (1956), 222–237. MR 84721, DOI 10.1090/S0002-9947-1956-0084721-7
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 63 (1977), 259-262
- MSC: Primary 43A07; Secondary 22A20
- DOI: https://doi.org/10.1090/S0002-9939-1977-0463807-8
- MathSciNet review: 0463807