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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 1970 Volume 7, Issue 3, Pages 307–310 (Mi mzm9510)
This article is cited in 2 papers

Normed spaces in which the unit sphere has no bias

N. I. Gurarii, Yu. I. Sozonov

Kharkov Polytechnic Institute

Abstract: We find the class of normed spaces in which the unit sphere has no bias (the midpoint of the segment joining two arbitrary normalized elements is, among the points of this segment, the one nearest to the zero element).

UDC: 513.88

Received: 25.11.1968


 English version: Mathematical Notes, 1970, 7:3, 187–189

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