Integral Representations of Semi-Inner Products in Function Spaces

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Florian-Horia Vasilescu, Integral Representations of Semi-Inner Products in Function Spaces, Int. J. Anal. Appl., 14 (2) (2017), 107-133.

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Florian-Horia Vasilescu

Abstract

Various spaces of measurable functions are usually endowed with semi-inner products expressed in terms of positive measures. Trying to give answers to the inverse problem, we present integral representations for some semi-inner products on function spaces of measurable functions, obtained either directly or by adapting and extending techniques from the theory of moment problems.

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