Wold decompositions for operators close to isometries

Published 13 Apr 2017 in math.FA | (1704.04200v1)

Abstract: In Bergman and Dirichlet spaces, the shift operator is not an isometry, but it is a left invertible operator. In this paper we give conditions on the left invertible operators such that a operator version, in the sense of Rosenblum and Rovnyak, of the Wold decomposition to take place.

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Authors (1)

Laura Gavruta

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