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arXiv · 2110.11234

Continuous controlled generalized fusion frames in Hilbert spaces

Prasenjit Ghosh·T. K. Samanta
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Abstract

We introduce the notion of continuous controlled g-fusion frame in Hilbert space which is the generalization of discrete controlled g-fusion frame and give an example. Some characterizations of continuous controlled g-fusion frame have been presented. We define the frame operator and multiplier of continuous controlled g-fusion Bessel families in Hilbert spaces. Continuous resolution of the identity operator on a Hilbert space using the theory of continuous controlled g-fusion frame is being considered. Finally, we discuss perturbation results of continuous controlled g-fusion frame.

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BibTeXRIS

Prasenjit Ghosh, T. K. Samanta. 2021-10-04. Continuous controlled generalized fusion frames in Hilbert spaces. https://arxiv.org/abs/2110.11234

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