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Generalized fusion frame in Quaternionic Hilbert spaces (2211.07329v1)

Published 14 Nov 2022 in math.FA

Abstract: We introduce the notion of a generalized fusion frame in quaternionic Hilbert space. A characterization of generalized fusion frame in quaternionic Hilbert space with the help of frame operator is being discussed. Finally, we construct g-fusion frame in quaternionic Hilbert space using invertible bounded right Q-linear operator on quaternionic Hilbert space.

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