Strong Coproximinality in Bochner Lp-Spaces and in Köthe Spaces

Authors

  • Jamila Jawdat Math. Dept. / Zarqa University/ Zarqa

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i3.4800

Keywords:

Strong Coapproximation, Bochner spaces, Köthe function space

Abstract

In this paper, we study strong coproximinality in Bochner Lp-spaces and in the Köthe Bochner function space E(X). We investigate some conditions to be imposed on the subspace G of the Banach space X such that Lp(μ,G) is strongly coproximinal in Lp(μ,X),1p<. On the other hand, we prove that if G is a separable subspace of X then G is strongly coproximinal in X if and only if E(G) is strongly coproximinal in E(X), provided that E is a strictly monotone Köthe space. This generalizes some results in the literature. Some other results in this direction are also presented.

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Published

2023-07-30

Issue

Section

Nonlinear Analysis

How to Cite

Strong Coproximinality in Bochner Lp-Spaces and in Köthe Spaces. (2023). European Journal of Pure and Applied Mathematics, 16(3), 1543-1551. https://doi.org/10.29020/nybg.ejpam.v16i3.4800