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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1971 Volume 10, Issue 4, Pages 453–457 (Mi mzm9734)

This article is cited in 21 papers

Some functionals over a compact Minkovskii space

M. I. Kadetsa, M. G. Snobarb

a Khar'kovskii Institute of Engineering, Communal Project
b Khar'kovskii State University of Gor'ko

Abstract: In this paper we obtain estimates which are order-exact for the projection and Macphail constants of an arbitrary $n$-dimensional Banach space: $1\leqslant\lambda(X)\leqslant\sqrt{n}$, $1/n\leqslant\mu_1(X)\leqslant1/\sqrt{n}$.

UDC: 513.88

Received: 20.04.1970


 English version:
Mathematical Notes, 1971, 10:4, 694–696

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© Steklov Math. Inst. of RAS, 2024