A Beurling Theorem for almost-invariant subspaces of the shift operator

Published 16 May 2019 in math.FA and math.CV | (1905.06652v2)

Abstract: A complete characterization of nearly-invariant subspaces of finite defect for the backward shift operator acting on the Hardy space is provided in the spirit of Hitt and Sarason's theorem. As a corollary we describe the almost-invariant subspaces for the shift and its adjoint.

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