Fuzzy Atomic System and Fuzzy K-frame in Fuzzy Hilbert Space
Prasenjit Ghosh, Jayanta Ghosh, Sanjay Roy, T. K. Samanta
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Source: Crossref
Published: Apr 22, 2026
DOI: 10.1142/s1793005727500670
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Atomic system in fuzzy Hilbert space is introduced and the existence of the fuzzy atomic systems for a strongly fuzzy bounded linear operator is studied. The notion of a K-frame in fuzzy Hilbert space is presented and some of their characterizations are given. We establish a relationship between fuzzy frame and fuzzy [Formula: see text]-frame in fuzzy Hilbert space. Further, it is seen that scalar combinations and product of two fuzzy [Formula: see text]-frames are also a fuzzy [Formula: see text]-frame in fuzzy Hilbert space.
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