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Charles Read

University of Leeds



Contractive approximate identities - the Quest for a Little Bit of Positivity in Operator Algebras



Monday, August 23
3pm, 646 PGH



Abstract

We show that in every nonzero operator algebra with a contractive approximate identity, there is an operator T such that || I - T || ≤1. In fact, there is a contractive approximate identity consisting of operators T with || I - 2T || ≤ 1.






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