On the ranges of bimodule projections

• Autores: Aristides Katavolos, Vern I. Paulsen
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 48, Nº 1, 2005, págs. 97-111
• Idioma: inglés
• DOI: 10.4153/cmb-2005-009-4
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• Resumen

  • 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.