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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 $\ell^{p}_n$ Spaces

A. I. Khrabrov

St. Petersburg State University, Department of Mathematics and Mechanics
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DOI: https://doi.org/10.4213/faa102
Abstract: In this paper, we study the classical, modified, and weak Banach–Mazur distances between sums of $\ell^p_n$ spaces. We explicitly calculate the classical and weak Banach–Mazur distances between sums of $\ell^p_n$ 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 $\ell^{p}_n$ 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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