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Brief communications
Comparison of Some Distances Between Sums of ℓpn Spaces
A. I. Khrabrov St. Petersburg State University, Department of Mathematics and Mechanics
Abstract:
In this paper, we study the classical, modified, and weak Banach–Mazur distances between sums of ℓpn spaces. We explicitly calculate the classical and weak Banach–Mazur distances between sums of ℓpn 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
Citation:
A. I. Khrabrov, “Comparison of Some Distances Between Sums of ℓpn Spaces”, Funktsional. Anal. i Prilozhen., 38:1 (2004), 91–94; Funct. Anal. Appl., 38:1 (2004), 75–77
Linking options:
https://www.mathnet.ru/eng/faa102https://doi.org/10.4213/faa102 https://www.mathnet.ru/eng/faa/v38/i1/p91
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Abstract page: | 434 | Full-text PDF : | 248 | References: | 89 |
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