The Journal of the Indian Mathematical Society

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Generalized Fusion Frame in A Tensor Product of Hilbert Space


Affiliations
1 Department of Pure Mathematics, University of Calcutta, Kolkata, 700019, India
2 Department of Mathematics, Uluberia College, Uluberia, Howrah, 711315, India
     

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Generalized fusion frames and some of their properties in a tensor product of Hilbert spaces are studied. Also, the canonical dual g-fusion frame in a tensor product of Hilbert spaces is considered. The frame operator for a pair of g-fusion Bessel sequences in a tensor product of Hilbert spaces is presented.


Keywords

Frame, Fusion Frame, G-Frame, G-Fusion Frame, Frame Operator, Tensor Product of Hilbert Spaces, Tensor Product of Frames.
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  • Generalized Fusion Frame in A Tensor Product of Hilbert Space

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Authors

Prasenjit Ghosh
Department of Pure Mathematics, University of Calcutta, Kolkata, 700019, India
T. K. Samanta
Department of Mathematics, Uluberia College, Uluberia, Howrah, 711315, India

Abstract


Generalized fusion frames and some of their properties in a tensor product of Hilbert spaces are studied. Also, the canonical dual g-fusion frame in a tensor product of Hilbert spaces is considered. The frame operator for a pair of g-fusion Bessel sequences in a tensor product of Hilbert spaces is presented.


Keywords


Frame, Fusion Frame, G-Frame, G-Fusion Frame, Frame Operator, Tensor Product of Hilbert Spaces, Tensor Product of Frames.

References





DOI: https://doi.org/10.18311/jims%2F2022%2F29307