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

Eva A. Gallardo-Guti\'errez; Isabelle Chalendar; Jonathan R. Partington

arxiv: 1905.06652 · v2 · pith:NBMM4QUDnew · submitted 2019-05-16 · 🧮 math.FA · math.CV

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

Isabelle Chalendar , Eva A. Gallardo-Guti\'errez , Jonathan R. Partington This is my paper

classification 🧮 math.FA math.CV

keywords shiftsubspacesalmost-invariantoperatortheoremactingadjointbackward

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

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