Geodesic
On the Ranges of Bimodule Projections
Canadian mathematical bulletin, Tome 48 (2005) no. 1, pp. 97-111

Voir la notice de l'article provenant de la source Cambridge University Press

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 ${{\text{J}}^{*}}$ -algebras. We prove that if $P$ is a normal bimodule idempotent and $\left\| P \right\|\,<\,2/\sqrt{3}$ then $P$ is a contraction. We finish with some attempts at extending the symbol calculus to non-normal maps.
DOI : 10.4153/CMB-2005-009-4
Mots-clés : 46L15, 47L25 
Katavolos, Aristides; Paulsen, Vern I. On the Ranges of Bimodule Projections. Canadian mathematical bulletin, Tome 48 (2005) no. 1, pp. 97-111. doi: 10.4153/CMB-2005-009-4
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