Open AccessParseval's equality in fuzzy normed linear spaces
Author(s) -
Bayaz Daraby,
Fataneh Delzendeh,
Asghar Rahimi
Publication year - 2021
Publication title -
mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.294
H-Index - 6
eISSN - 2601-744X
pISSN - 1222-9016
DOI - 10.24193/mathcluj.2021.1.05
Subject(s) - mathematics , hilbert space , parseval's theorem , fuzzy logic , pure mathematics , frame (networking) , discrete mathematics , algebra over a field , mathematical analysis , computer science , fourier analysis , fourier transform , artificial intelligence , telecommunications , fractional fourier transform
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.