Schur product with operator-valued entries

2018/04/10 by Blasco, O., García-Bayona, I.
#15B05 (Secondary) #46E40 (Primary) 47A56 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1804.03432

Abstract

In this paper we characterize Toeplitz matrices with entries in the space of bounded operators on Hilbert spaces B(H) which define bounded operators acting on ℓ²(H) and use it to get the description of the right Schur multipliers acting on ℓ²(H) in terms of certain operator-valued measures.

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