A simple proof of a theorem of Vol'berg and Treil' on the embedding of coinvariant subspaces of the shift operator

Publication date: 4 February 1999

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/68493

zbMATH Keywords

characterization of one-component inner functions embedding of coinvariant subspaces of the shift operator Vol'berg-Treil' theorem

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (9)

Stability of the bases and frames reproducing kernels in model spaces. ⋮ Weighted Bernstein-type inequalities, and embedding theorems for the model subspaces ⋮ Extremal functions as divisors for kernels of Toeplitz operators. ⋮ One component bounded functions ⋮ Trace ideal criteria for embeddings and composition operators on model spaces ⋮ Necessary conditions for boundedness of translation operator in de Branges spaces ⋮ Volterra type integral operators and composition operators on model spaces ⋮ Bernstein-type inequalities for shift-coinvariant subspaces and their applications to Carleson embeddings ⋮ Embedding theorems for star-invariant subspaces generated by smooth inner functions

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