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

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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).

Original languageEnglish
Pages (from-to)146-155
Number of pages10
JournalJournal of Approximation Theory
Volume47
Issue number2
DOIs
Publication statusPublished - 1986

Fingerprint

Finite Rank Operators
Best Approximation
Mach number
Nonexistence
Operator
Positive Solution

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Mathematics(all)
  • Applied Mathematics

Cite this

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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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