مشخصات پژوهش

عنوان	Fuzzy Normed Linear Spaces and Fuzzy Frames
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	fuzzy norm, fuzzy inner product space, fuzzy Hilbert space, fuzzy frame.
چکیده	In this paper, we show that every classical inner product on a linear space induces the fuzzy inner product and fuzzy norm in the sense of Bag and Samanta. We prove the Cauchy-Schwarz inequality on fuzzy Hilbert spaces. We also de ne fuzzy frame on fuzzy Hilbert spaces. As is known, C1( ) is not normable in classical Hilbert space, but in this paper we show that C1( ) is normable in fuzzy Hilbert space and so de ning fuzzy frame on C1( ) is possible.
پژوهشگران	اصغر رحیمی (نفر چهارم)، علی رستمی (نفر سوم)، فتانه دلزنده (نفر دوم)، بیاض دارابی (نفر اول)