2017/04/13 by Laura Găvruţa, Gavruta, Laura
Mathematics · #Holomorphic and Operator Theory #Algebraic and Geometric Analysis #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.1704.04200
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.