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Representation of Linear Functionalson Köthe Spaces

Published online by Cambridge University Press:  20 November 2018

G. G. Lorentz  and
D. G. Wertheim
G. G. Lorentz
Affiliation:
University of Toronto
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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).

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 5 , 1953 , pp. 568 - 575
Copyright
Copyright © Canadian Mathematical Society 1953

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