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A Class of Schur Multipliers of Matrices with Operator Entries

  • Oscar BlascoEmail author
  • Ismael García-Bayona
Article
  • 66 Downloads

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.

Keywords

Schur product Toeplitz matrix Schur multiplier vector-valued measure vector-valued function 

Mathematics Subject Classification

Primary 47L10 46E40 Secondary 47A56 15B05 46G10 

Notes

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Departamento de Análisis MatemáticoUniversidad de ValenciaBurjassotSpain

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