Title : ( An approach to fuzzy Hilbert spaces )
Authors: Madjid Mirzavaziri , Mohammad Sal Moslehian ,
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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.
Keywords
, Fuzzy inner product, fuzzy Hilbert space, Hilbert space, fuzzy normed space, Cauchy--Schwarz inequality, parallelogram law
@article{paperid:1020493,
author = {Mirzavaziri, Madjid and Sal Moslehian, Mohammad},
title = {An approach to fuzzy Hilbert spaces},
journal = {Nonlinear Functional Analysis and Applications},
year = {2010},
volume = {14},
number = {5},
month = {January},
issn = {1229-1595},
pages = {781--792},
numpages = {11},
keywords = {Fuzzy inner product; fuzzy Hilbert space; Hilbert space; fuzzy normed space; Cauchy--Schwarz inequality; parallelogram law},
}
%0 Journal Article
%T An approach to fuzzy Hilbert spaces
%A Mirzavaziri, Madjid
%A Sal Moslehian, Mohammad
%J Nonlinear Functional Analysis and Applications
%@ 1229-1595
%D 2010
