The Beurling-Lax-Halmos theorem for infinite multiplicity

DOI10.1016/j.jfa.2020.108884zbMath1470.47014arXiv1910.09957OpenAlexW2981537189MaRDI QIDQ2219458

In Sung Hwang, Woo Young Lee, Raúl E. Curto

Publication date: 20 January 2021

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.09957

zbMATH Keywords

Beurling-Lax-Halmos theoremBeurling degreecomplementary factor of an inner functionstrong \(L^2\)-functions

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Invariant subspaces of linear operators (47A15) Canonical models for contractions and nonselfadjoint linear operators (47A45) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Hardy spaces (30H10) Inner functions of one complex variable (30J05)

Related Items (9)

Operator-valued rational functions ⋮ The kernels of Hankel operators on the full Fock space ⋮ Circle companions of Hardy spaces of the unit disk ⋮ The Beurling degree of inner matrix functions ⋮ Recent developments in the interplay between function theory and operator theory for block Toeplitz, Hankel, and model operators ⋮ An F. and M. Riesz theorem for strong \(H^2\)-functions on the unit circle ⋮ An inverse problem for kernels of block Hankel operators ⋮ On Douglas-Shapiro-Shields factorizations ⋮ Invariant subspaces of the direct sum of forward and backward shifts on vector-valued Hardy spaces

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