ASYMPTOTIC PROPERTIES OF KOLMOGOROV WIDTHS

ASYMPTOTIC PROPERTIES OF KOLMOGOROV WIDTHS

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 compariso...

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Veröffentlicht in:Bulletin of the Australian Mathematical Society 2010-08, Vol.82 (1), p.10-17
1. Verfasser: OSTROVSKII, MIKHAIL I.
Format: Artikel
Sprache:eng
Schlagworte:
41A65
absolute widths
Asymptotic properties
Banach space
Banach spaces
Compacts
Kolmogorov widths
primary 46B20
secondary 41A46
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Zusammenfassung: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 and of the sequence of n-widths of the same compact in other Banach spaces containing as a subspace.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972710000043