This article is cited in 1 paper

Dependence of Kolmogorov Widths on the Ambient Space

T. Oikhberg^a, M. I. Ostrovskii<sup>b

a</sup> Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801
^b Department of Mathematics and Computer Science St. John's University, 8000 Utopia Parkway, Queens, New York 11439, USA

Abstract: We study the dependence of the Kolmogorov widths of a compact set on the ambient Banach space.

Key words and phrases: absolute width, affine width, Kolmogorov width, volume ratio.

MSC: Primary 46B20; Secondary 46B04, 46B07, 46B09, 46B50

Received: 01.05.2012

Language: English

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