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Contractions, Cogenerators, and Weak Stability

2020/05/08 by Robert E. O’Brien, O'Brien, Robert E.
Mathematics · #Holomorphic and Operator Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2005.03821

Abstract

A contraction semigroup T on a Hilbert space H and its cogenerator S define an algebra, the limit algebra - which determines the structure of the subspace of weakly Poisson recurrent vectors and gives a necessary and sufficient condition for T and S to be weakly stable equivalent.

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