AN APPROACH TO FUZZY HILBERT SPACES

M. Mirzavaziri, M.S. Moslehian

Abstract


We introduce a notion of fuzzy Hilbert space and establish a Cauchy-Schwarz type inequality. We also prove a version of the parallelogram law in this setting. A fuzzy Hilbert space theory can therefore be developed on this base.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)

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