On proximinality and sets of operators. II. Nonexistence of best approximation from the sets of finite rank operators

Aref Kamal

doi:10.1016/0021-9045(86)90039-0

On proximinality and sets of operators. II. Nonexistence of best approximation from the sets of finite rank operators

Aref Kamal^*

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

The most important result in this paper is that the set K_n(l₁, c₀) is not proximinal in L(l₁, c₀). This gives a negative solution to Problem 5.2.1 and a positive solution to Problem 5.2.4 of Deutsch, Mach, and Saatkamp (J. Approx. Theory 33 (1981), 199-213).

Original language	English
Pages (from-to)	146-155
Number of pages	10
Journal	Journal of Approximation Theory
Volume	47
Issue number	2
DOIs	https://doi.org/10.1016/0021-9045(86)90039-0
Publication status	Published - Jun 1986
Externally published	Yes

ASJC Scopus subject areas

Analysis
Numerical Analysis
General Mathematics
Applied Mathematics

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10.1016/0021-9045(86)90039-0

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abstract = "The most important result in this paper is that the set Kn(l1, c0) is not proximinal in L(l1, c0). This gives a negative solution to Problem 5.2.1 and a positive solution to Problem 5.2.4 of Deutsch, Mach, and Saatkamp (J. Approx. Theory 33 (1981), 199-213).",

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AB - The most important result in this paper is that the set Kn(l1, c0) is not proximinal in L(l1, c0). This gives a negative solution to Problem 5.2.1 and a positive solution to Problem 5.2.4 of Deutsch, Mach, and Saatkamp (J. Approx. Theory 33 (1981), 199-213).

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On proximinality and sets of operators. II. Nonexistence of best approximation from the sets of finite rank operators

Abstract

ASJC Scopus subject areas

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