Skip to main content

Schur Multipliers of Cartan Pairs

  • R. H. Levene (a1), N. Spronk (a2), I. G. Todorov (a3) and L. Turowska (a4)

We define the Schur multipliers of a separable von Neumann algebra with Cartan maximal abelian self-adjoint algebra , generalizing the classical Schur multipliers of ( 2). We characterize these as the normal -bimodule maps on . If contains a direct summand isomorphic to the hyperfinite II1 factor, then we show that the Schur multipliers arising from the extended Haagerup tensor product eh are strictly contained in the algebra of all Schur multipliers.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Proceedings of the Edinburgh Mathematical Society
  • ISSN: 0013-0915
  • EISSN: 1464-3839
  • URL: /core/journals/proceedings-of-the-edinburgh-mathematical-society
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


MSC classification


Full text views

Total number of HTML views: 0
Total number of PDF views: 62 *
Loading metrics...

Abstract views

Total abstract views: 433 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 20th August 2018. This data will be updated every 24 hours.