On the proximinality of compact operators over spaces of measurable functions

Aref Kamal

doi:10.1080/01630569208816500

On the proximinality of compact operators over spaces of measurable functions

Aref Kamal^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

The main results in this paper are, the characterization of all the σ-finite positive measures μ and v, for which K(L1(μ), L1(v)) is proximinal in L(L1(μ), L1(v)); all the σ-finite positive measures μ and v, for which K(L∞(μ), L∞(v)) is proximinal in L(L∞(A), L∞(v)) and all the compact Hausdorff spaces Q, for which K(C(Q), l∞(μ)) is proximinal in L(C(Q), L∞(n)).

Original language	English
Pages (from-to)	585-590
Number of pages	6
Journal	Numerical Functional Analysis and Optimization
Volume	13
Issue number	5-6
DOIs	https://doi.org/10.1080/01630569208816500
Publication status	Published - Jan 1 1992
Externally published	Yes

ASJC Scopus subject areas

Control and Optimization
Analysis
Signal Processing
Computer Science Applications

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On the proximinality of compact operators over spaces of measurable functions

Abstract

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