عنوان مجله
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Azerbaijan Journal of Mathematics
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چکیده
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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 dene 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 dening
fuzzy frame on C1(
) is possible.
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