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Asghar Rahimi

Asghar Rahimi

Academic rank: Professor
ORCID:
Education: PhD.
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Faculty: 1
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Research

Title
ON THE STUDY OF FUZZY HILBERT SPACES BY FUZZY ISOMETRIC ISOMORPHISMS
Type
JournalPaper
Keywords
Fuzzy Hilbert space; Fuzzy isometric; Fuzzy isomorphism; Fuzzy dual space
Year
2020
Journal TWMS Journal of Applied and Engineering Mathematics
DOI
Researchers Bayaz Daraby ، ، Asghar Rahimi

Abstract

In this paper, by defining a fuzzy inner product on the dual of real fuzzy Hilbert space, we show that the dual of fuzzy Hilbert space is also fuzzy Hilbert space. Then the concepts of fuzzy linear operator and fuzzy isomentric are defined. It is shown that each real fuzzy Hilbert space is isometricaly isomorphic to the dual of the fuzzy Hilbert space.