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Asghar Rahimi

Asghar Rahimi

Academic rank: Professor
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Education: PhD.
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Research

Title
PARSEVAL’S EQUALITY IN FUZZY NORMED LINEAR SPACES
Type
JournalPaper
Keywords
Fuzzy norm, fuzzy inner product space, fuzzy Hilbert space, fuzzy frame.
Year
2021
Journal Mathematica
DOI
Researchers Bayaz Daraby ، Fattaneh Delzendeh ، Asghar Rahimi

Abstract

Abstract. In this paper, we investigate Parseval’s equality and define the fuzzy frame on Felbin fuzzy Hilbert spaces. For showing the importance of defining fuzzy frame, we know that, in the classical Hilbert space, C(Ω) is not normable, but, in this manuscript, we prove that C(Ω) (the vector space of all continuous functions on Ω) is normable in a Felbin fuzzy Hilbert space and so the defining fuzzy frame on C(Ω) is possible. These consequences of the category of fuzzy frames in Felbin fuzzy Hilbert spaces are wider than the category of the frames in the classical Hilbert spaces.