Article ID Journal Published Year Pages File Type
4601185 Linear Algebra and its Applications 2011 12 Pages PDF
Abstract

In this paper, we consider projections on minimal norm ideals of B(H)B(H) that are represented as the average of two surjective isometries. We describe projections of the formP(T)=A1TB1+A2TB22,where A1A1, A2A2, B1B1 and B2B2 are unitary operators satisfying a commutativity condition. We also characterize classes of projections of the formP(T)=AT+TtB2andP(T)=ATt+TtB2,with AA and BB unitary operators satisfying a spectral condition.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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