Academia.eduAcademia.edu

A Class of Schur Multipliers of Matrices with Operator Entries

2019, Mediterranean Journal of Mathematics

Abstract

In this paper, we will consider matrices with entries in the space of operators 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 vectorvalued functions.