English

Schur product with operator-valued entries

Functional Analysis 2018-04-11 v1

Abstract

In this paper we characterize Toeplitz matrices with entries in the space of bounded operators on Hilbert spaces B(H)\mathcal{B}(H) which define bounded operators acting on 2(H)\ell^2(H) and use it to get the description of the right Schur multipliers acting on 2(H)\ell^2(H) in terms of certain operator-valued measures.

Keywords

Cite

@article{arxiv.1804.03432,
  title  = {Schur product with operator-valued entries},
  author = {O. Blasco and I. García-Bayona},
  journal= {arXiv preprint arXiv:1804.03432},
  year   = {2018}
}
R2 v1 2026-06-23T01:19:05.086Z