Mielnik’s probability spaces and characterization of inner product spaces

Stanojevic, C. V.

doi:10.1090/S0002-9947-1973-0328562-1

Mielnik’s probability spaces and characterization of inner product spaces
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by C. V. Stanojevic PDF

Trans. Amer. Math. Soc. 183 (1973), 441-448 Request permission

Abstract:

A characterization of inner product spaces is given in terms of Mielnik’s probability function. The generalized parallelogram law is related to the functional equation $f + f \circ g = 1$.

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