Canadian Mathematical Society
Canadian Mathematical Society
  location:  Publicationsjournals
Search results

Search: All MSC categories starting with 46L15

  Expand all        Collapse all Results 1 - 1 of 1

1. CMB 2005 (vol 48 pp. 97)

Katavolos, Aristides; Paulsen, Vern I.
On the Ranges of Bimodule Projections
We develop a symbol calculus for normal bimodule maps over a masa that is the natural analogue of the Schur product theory. Using this calculus we are easily able to give a complete description of the ranges of contractive normal bimodule idempotents that avoids the theory of J*-algebras. We prove that if $P$ is a normal bimodule idempotent and $\|P\| < 2/\sqrt{3}$ then $P$ is a contraction. We finish with some attempts at extending the symbol calculus to non-normal maps.

Categories:46L15, 47L25

© Canadian Mathematical Society, 2014 :