Structure of balls and uniqueness subspaces in a linear metric space

A. I. Vasil'ev

Institute of Mathematics and Mechanics, Academy of Sciences, USSR

Abstract: In linear metric space $X$ we investigate the structure of balls in terms of their convex hulls. We generalize the theorem of [2] having to do, in particular, with the conditions under which each subspace $L\subset X$ is a set of uniqueness [3].

UDC: 513.88

Received: 18.04.1972

 English version: Mathematical Notes, 1973, 13:4, 328–332

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