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  • ASYMPTOTIC PROPERTIES OF KOLMOGOROV WIDTHS

  • Part of
  • MIKHAIL I. OSTROVSKII
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 82 / Issue 1 / August 2010
    Published online by Cambridge University Press:
    25 March 2010, pp. 10-17
    Print publication:
    August 2010
    • Article
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  • We consider two problems concerning Kolmogorov widths of compacts in Banach spaces. The first problem is devoted to relations between the asymptotic behavior of the sequence of n-widths of a compact and of its projections onto a subspace of codimension one. The second problem is devoted to comparison of the sequence of n-widths of a compact in a Banach space 𝒴 and of the sequence of n-widths of the same compact in other Banach spaces containing 𝒴 as a subspace.