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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2003 Volume 303, Pages 203–217 (Mi znsl908)

Estimates of the distances between sums of the spaces $\ell^p_n$, II

A. I. Khrabrov

Saint-Petersburg State University

Abstract: We study classical, modified, and weak Banach–Mazur distances between sums of $\ell^p_n$ spaces. We calculate explicitly the classical and weak Banach–Mazur distances between sums of $\ell^p_n$-spaces and establish bounds for the ratios of these distances between sums of $\ell^p_n$-spaces.

UDC: 517.98

Received: 30.05.2003


 English version:
Journal of Mathematical Sciences (New York), 2005, 129:4, 4040–4048

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