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arxiv: 1804.03432 · v1 · pith:BGD4SUQ4new · submitted 2018-04-10 · 🧮 math.FA

Schur product with operator-valued entries

classification 🧮 math.FA
keywords actingboundedentriesoperator-valuedoperatorsschurcertaincharacterize
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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 $\ell^2(H)$ and use it to get the description of the right Schur multipliers acting on $\ell^2(H)$ in terms of certain operator-valued measures.

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