• Title/Summary/Keyword: Proximinality

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PSEUDO-CHEBYSHEV SUBSPACES IN $L^1$

  • Mohebi, H.
    • Journal of applied mathematics & informatics
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    • v.7 no.2
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    • pp.585-595
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    • 2000
  • We give various characterizations of pseudo -Chebyshev Subspaces in the spaces $L^1$(S,${\mu}$) and C(T).

PROXIMINALITY OF CERTAIN SPACES OF COMPACT OPERATORS

  • Cho, Chong-Man;Roh, Woo-Suk
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.1
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    • pp.65-69
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    • 2001
  • For any closed subspace X of $\ell_p, \; 1<\kappa<\infty$, K(X) is proximinal in L(X), and if X is a Banach space with an unconditional shrinking basis, then K(X, c$_0$) is proximinal in L(X,$ \ell_\infty$).

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