Bounded continuous functions on a completely regular space-Reference-Cited by-同舟云学术

Bounded continuous functions on a completely regular space

Published:1972 Issue:0 Volume:168 Page:311-336
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Sentilles F. Dennis

Abstract

Three locally convex topologies on C ( X ) C(X) are introduced and developed, and in particular shown to coincide with the strict topology on locally compact X X and yield dual spaces consisting of tight, τ \tau -additive and σ \sigma -additive functionals respectively for completely regular X X .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1972-168-00/S0002-9947-1972-0295065-1/S0002-9947-1972-0295065-1.pdf

Reference42 articles.

1. A. D. Aleksandrov, Additive set-functions in abstract spaces, a) 8 (50) (1940), 307-348; b) ibid. 9 (51) (1941), 563-628; c) Mat. Sb. 13 (55) (1943), 169-238. MR 2, 315; MR 3, 207; MR 6, 275.

2. Bounded continuous functions on a locally compact space;Buck, R. Creighton;Michigan Math. J.,1958

3. Convergence in distribution of stochastic processes;LeCam, Lucien;Univ. California Publ. Statist.,1957

4. The strict topology and compactness in the space of measures;Conway, John B.;Bull. Amer. Math. Soc.,1966

Cited by 76 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

1. Operator semigroups in the mixed topology and the infinitesimal description of Markov processes;Journal of Differential Equations;2024-12

2. Sun Dual Theory For Bi-Continuous Semigroups;Analysis Mathematica;2024-03

3. Mixed topologies on Saks spaces of vector-valued functions;Topology and its Applications;2024-01

4. The Fractional Laplacian with Reflections;Potential Analysis;2023-11-20

5. Bochner Representable Operators on Spaces of Continuous Functions;Results in Mathematics;2022-08-23