Hostname: page-component-848d4c4894-8kt4b Total loading time: 0 Render date: 2024-06-15T17:44:41.573Z Has data issue: false hasContentIssue false
  • English
  • Français

ARENS REGULARITY OF THE ALGEBRA OF OPERATORS ON A BANACH SPACE

Published online by Cambridge University Press:  14 June 2004

MATTHEW DAWS
MATTHEW DAWS
Affiliation:
School of Mathematics, University of Leeds, Leeds, LS2 9JT matt.daws@cantab.net
Get access

Abstract

A short proof is given that if $E$ is a super-reflexive Banach space, then $\mc B(E)$, the Banach algebra of operators on $E$ with composition product, is Arens regular. Some remarks are made on necessary conditions on $E$ for $\mc B(E)$ to be Arens regular.

Keywords

47L10 (primary)46H05 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 36 , Issue 4 , July 2004 , pp. 493 - 503
Copyright
© The London Mathematical Society 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)