Representation of Linear Functionals on Köthe Spaces

Author:

Lorentz G. G.,Wertheim D. G.

Abstract

Kothe spaces, in the terminology of Diendonné [2], are certain spaces X of real valued integrable functions. In this paper we consider the problem of representation of continuous linear functional on vector valued Kothe spaces. The elements of a Kôthe space X(B) are functions with values in a Banach space B (see §2).

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 24 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. On multiplication operators acting on Köthe sequence spaces;Afrika Matematika;2016-12-20

2. THE SPACE OF PETTIS INTEGRABLE FUNCTIONS IS BARRELED;P AM MATH SOC;1992

3. The space of Pettis integrable functions is barrelled;Proceedings of the American Mathematical Society;1992

4. Barrelled function spaces;Progress in Functional Analysis, Proceedings of the International Functional Analysis Meeting on the Occasion of the 60th Birthday of Professor M. Valdivia;1992

5. Bibliography;Interpolation of Operators;1988

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