Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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A CHARACTERIZATION OF HILBERT SPACE BY THE INFIMUM VALUE OF SOME EXPECTATIONS

  • Mok, Jin-Sik (Department of Mathematics, Sun Moon University)
  • Published : 2004.09.01

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Abstract

A Banach space X is a Hilbert space if and only if E｜x + Y｜$geq$ 1 for all x $\epsilon$ X and all X-valued Bochner integrable functions Y satisfying EY = 0 and ｜Y｜$geq$ 1 a.e.

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