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صفحه نخست /PARSEVAL’S EQUALITY IN FUZZY ...
عنوان PARSEVAL’S EQUALITY IN FUZZY NORMED LINEAR SPACES
نوع پژوهش مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها Fuzzy norm, fuzzy inner product space, fuzzy Hilbert space, fuzzy frame.
چکیده 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.
پژوهشگران اصغر رحیمی (نفر سوم)، فتانه دلزنده (نفر دوم)، بیاض دارابی (نفر اول)