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arXiv · 1810.07820

A class of Schur multipliers of matrices with operator entries

O. Blasco·I. García-Bayona
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Abstract

In this paper, we will consider matrices with entries in the space of operators $\mathcal{B}(H)$, where $H$ is a separable Hilbert space, and consider the class of (left or right) Schur multipliers that can be approached in the multiplier norm by matrices with a finite number of diagonals. We will concentrate on the case of Toeplitz matrices and of upper triangular matrices to get some connections with spaces of vector-valued functions.

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O. Blasco, I. García-Bayona. 2018-10-17. A class of Schur multipliers of matrices with operator entries. https://arxiv.org/abs/1810.07820

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