ON THE RIESZ REPRESENTATION THEOREM IN TOPOLOGICAL VECTOR SPACES-Reference-Cited by-同舟云学术

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ON THE RIESZ REPRESENTATION THEOREM IN TOPOLOGICAL VECTOR SPACES

Published:2000-12-01 Issue:3-4 Volume:36 Page:347-352
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
Short-container-title:

Author:

Alghamdi M. A.¹,Khan L. A.¹,Abujabal H. A. S.¹

Affiliation:

1. 1 Please ask the editor of the journal.

Abstract

I this paper we establish a Riesz representation type theorem which characterizes the dual of the space C rc (X,E)endowed with the countable-ope topologyi the case of E ot ecessarilya locallyconvex TVS.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://www.akademiai.com/doi/pdf/10.1556/sscmath.36.2000.3-4.7

Reference10 articles.

1. On seminorm separability for vector-valued function spaces;L. Khan;Studia Sci. Math. Hungar.,1989

2. Shrinkable neighbourhoods in Hausdorff linear spaces;V. Klee;Math. Ann.,1960

3. Strict dual of C^b(X,E);M. Nawrocki;Studia Math.,1985

4. Separability and semi-norm separability for spaces of bounded continuous functions;D. Gulick;Bull. Soc. Roy. Sci. Liège,1972

5. Integration of vector-valued continuous functions and the Riesz representation theorem;L. Khan;Studia Sci. Math. Hungar.,1993

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