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Funktsional'nyi Analiz i ego Prilozheniya, 2004, Volume 38, Issue 1, Pages 91–94
DOI: https://doi.org/10.4213/faa102
(Mi faa102)
 

Brief communications

Comparison of Some Distances Between Sums of pn Spaces

A. I. Khrabrov

St. Petersburg State University, Department of Mathematics and Mechanics
References:
Abstract: In this paper, we study the classical, modified, and weak Banach–Mazur distances between sums of pn spaces. We explicitly calculate the classical and weak Banach–Mazur distances between sums of pn spaces and establish bounds for the ratios of these distances.
Keywords: volume ratio, Banach–Mazur distance, finite-dimensional normed space, ideal norm.
Received: 25.12.2002
English version:
Functional Analysis and Its Applications, 2004, Volume 38, Issue 1, Pages 75–77
DOI: https://doi.org/10.1023/B:FAIA.0000024873.99974.a0
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. I. Khrabrov, “Comparison of Some Distances Between Sums of pn Spaces”, Funktsional. Anal. i Prilozhen., 38:1 (2004), 91–94; Funct. Anal. Appl., 38:1 (2004), 75–77
Citation in format AMSBIB
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\paper Comparison of Some Distances Between Sums of $\ell^{p}_n$ Spaces
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\pages 91--94
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  • https://www.mathnet.ru/eng/faa102
  • https://doi.org/10.4213/faa102
  • https://www.mathnet.ru/eng/faa/v38/i1/p91
  • Citing articles in Google Scholar: Russian citations, English citations
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    Функциональный анализ и его приложения Functional Analysis and Its Applications
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