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Asghar Rahimi

Asghar Rahimi

Academic rank: Professor
ORCID:
Education: PhD.
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Research

Title
SOME THEOREMS ON FUZZY HILBERT SPACES
Type
JournalPaper
Keywords
fuzzy normed linear spaces, fuzzy Hilbert spaces, Felbin-type fuzzy norm, fuzzy bounded linear operator.
Year
2018
Journal University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics
DOI
Researchers Bayaz Daraby ، ، Asghar Rahimi

Abstract

In this note, our aim is to present some properties of Felbin-type fuzzy inner product spaces and fuzzy bounded linear operators on the same spaces with some operator norm. At the rst, fuzzy closed linear operators are considered brie y, latter the notion of fuzzy orthonormality is introduced. Finally, we establish Bessel's inequality in the sense of Felbin's norm.