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Title
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Fuzzy Normed Linear Spaces and Fuzzy Frames
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Type
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JournalPaper
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Keywords
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fuzzy norm, fuzzy inner product space, fuzzy Hilbert space, fuzzy frame.
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Abstract
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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.
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Researchers
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Asghar Rahimi (Fourth Researcher), (Third Researcher), Fattaneh Delzendeh (Second Researcher), Bayaz Daraby (First Researcher)
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