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Matematicheskie Zametki, 2001, Volume 70, Issue 6, Pages 918–926
DOI: https://doi.org/10.4213/mzm803 (Mi mzm803) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Generalized Volume Ratios and the Banach–Mazur Distance

A. I. Khrabrov

St. Petersburg State University, Department of Mathematics and Mechanics
Full-text PDF (232 kB) Citations (7)
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DOI: https://doi.org/10.4213/mzm803
Abstract: The classical and modified Banach–Mazur distances are studied. A relation between the modified distance and the volume ratios is established. The volume ratios are calculated for the spaces $\ell _n^p$ and their sums are estimated for arbitrary finite-dimensional spaces.
Received: 28.06.2000
Revised: 20.01.2001
English version:
Mathematical Notes, 2001, Volume 70, Issue 6, Pages 838–846
DOI: https://doi.org/10.1023/A:1012920103463
Bibliographic databases:
UDC: 513.881
Language: Russian
Citation: A. I. Khrabrov, “Generalized Volume Ratios and the Banach–Mazur Distance”, Mat. Zametki, 70:6 (2001), 918–926; Math. Notes, 70:6 (2001), 838–846
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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