Construction of fusion frame in Cartesian product of two Hilbert spaces

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Prasenjit Ghosh

Abstract

We study the concept of fusion frame in Cartesian product of two Hilbert spaces as Cartesian product of two Hilbert spaces is again a Hilbert space and see that the Cartesian product of two fusion frames is also a fusion frame. The concept of fusion frame operator on Cartesian product of two Hilbert spaces is being given and results of it are being presented.A perturbation result on fusion frame in Cartesian product of two Hilbert spaces is being discussed.

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How to Cite
Ghosh, P. (2021). Construction of fusion frame in Cartesian product of two Hilbert spaces. Gulf Journal of Mathematics, 11(2), 53-64. Retrieved from https://gjom.org/index.php/gjom/article/view/539
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