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Schur product with operator-valued entries

Published 10 Apr 2018 in math.FA | (1804.03432v1)

Abstract: In this paper we characterize Toeplitz matrices with entries in the space of bounded operators on Hilbert spaces $\mathcal{B}(H)$ which define bounded operators acting on $\ell2(H)$ and use it to get the description of the right Schur multipliers acting on $\ell2(H)$ in terms of certain operator-valued measures.

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