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

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

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  • Jop Briët

  • Harry Buhrman

  • Troy Lee

  • Thomas Vidick

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