2005/03/01 by Aristides Katavolos, A. Katavolos, Vern I. Paulsen · 6 citations
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models
paper · pdf · doi:10.4153/cmb-2005-009-4
Abstract 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 then P is a contraction. We finish with some attempts at extending the symbol calculus to non-normal maps.