Parseval's equality in fuzzy normed linear spaces

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 20 May 2021Publisher:Babes-Bolyai UniversityJournal:MATHEMATICA, volume 63 (86), pages 47-57 (issn: 1222-9016, eissn: 2601-744X,

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Authors: Daraby Bayaz; Delzendeh Fataneh; Rahimi Asghar;

doi: 10.24193/mathcluj.2021.1.05

Parseval's equality in fuzzy normed linear spaces

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Abstract

We investigate Parseval's equality and define the fuzzy frame on Felbin fuzzy Hilbert spaces. We prove that C(Omega) (the vector space of all continuous functions on Omega) is normable in a Felbin fuzzy Hilbert space and so defining fuzzy frame on C(Omega) is possible. The consequences for the category of fuzzy frames in Felbin fuzzy Hilbert spaces are wider than for the category of the frames in the classical Hilbert spaces.

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University of Maragheh
Iran (Islamic Republic of)

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