Abstract
AbstractCorrecting some “proofs” given in an earlier paper of the same title, we prove here, among other things, that, if S is a subgroup of a topological group that is complete in a left invariant metric or locally compact, then every weakly almost periodic function on S is (left and right) uniformly continuous. We also prove a theorem related to results of R. B. Burckel and of W. W. Comfort and K. A. Ross: a topological group is pseudocompact if and only if WAP(G) = C(G).
Publisher
Cambridge University Press (CUP)
Reference12 articles.
1. On Real-Valued Functions in Topological Spaces
2. The continuity of Arens product on the Stone-Čech compactification of semigroups;Macri;Trans. Amer. Math. Soc.,1974
3. Invariant Means on Spaces of Continuous or Measurable Functions
4. Invariant means on locally compact groups;Granirer;Illinois J. Math.,1971
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献