چکیده
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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.
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