
arXiv: 2105.03094
We study fusion frame in tensor product of Hilbert spaces and discuss some of its properties.\,The resolution of the identity operator on a tensor product of Hilbert spaces is being discussed.\,An alternative dual of a fusion frame in tensor product of Hilbert spaces is also presented.
Mathematics - Functional Analysis, 42C15, 46C07, Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.), canonical dual frame, resolution of identity operator, tensor product of Hilbert spaces, fusion frame, FOS: Mathematics, General harmonic expansions, frames, tensor product of frames, Functional Analysis (math.FA)
Mathematics - Functional Analysis, 42C15, 46C07, Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.), canonical dual frame, resolution of identity operator, tensor product of Hilbert spaces, fusion frame, FOS: Mathematics, General harmonic expansions, frames, tensor product of frames, Functional Analysis (math.FA)
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