All Schatten spaces endowed with the Schur product are Q-algebras

  • Briët J
  • Buhrman H
  • Lee T
 et al. 
  • 1

    Readers

    Mendeley users who have this article in their library.
  • 6

    Citations

    Citations of this article.

Abstract

We prove that the Banach algebra formed by the space of compact operators on a Hilbert space endowed with the Schur product is a quotient of a uniform algebra (also known as a Q-algebra). Together with a similar result of Pérez-García for the trace class, this completes the answer to a long-standing question of Varopoulos. © 2011 Elsevier Inc.

Author-supplied keywords

  • Banach algebra
  • Q-algebra
  • Schatten space
  • Schur product

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Jop Briët

  • Harry Buhrman

  • Troy Lee

  • Thomas Vidick

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free