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- W3138187008 abstract "Let X be a Banach space and let Y be a closed subspace of X. Let 1 less than or equal to p less than or equal to infinity and let us denote by L-p(mu, X) the Banach space of all X-valued Bochner p-integrable (essentially bounded for p = infinity) functions on a certain positive complete sigma-finite measure space (Omega, Sigma, mu), endowed with the usual p-norm. In this paper we give a negative answer to the following question: If Y is proximinal in X, is L-p(mu, Y) proximinal in L-p(mu, X)? We also show that the answer is affirmative for separable spaces Y. Some consequences of this are obtained." @default.
- W3138187008 created "2021-03-29" @default.
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- W3138187008 date "1998-05-02" @default.
- W3138187008 modified "2023-09-27" @default.
- W3138187008 title "Proximinality in L-p(mu,X)." @default.
- W3138187008 hasPublicationYear "1998" @default.
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