On the proximinality of compact operators over spaces of measurable functions

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)585-590
Number of pages6
JournalNumerical Functional Analysis and Optimization
Volume13
Issue number5-6
DOIs
Publication statusPublished - Jan 1 1992

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Measurable function
Compact Operator
Mathematical operators
Compact Hausdorff Space

ASJC Scopus subject areas

  • Computer Science Applications
  • Signal Processing
  • Analysis
  • Control and Optimization

Cite this

On the proximinality of compact operators over spaces of measurable functions. / Kamal, Aref.

In: Numerical Functional Analysis and Optimization, Vol. 13, No. 5-6, 01.01.1992, p. 585-590.

Research output: Contribution to journalArticle

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