On Douglas-Shapiro-Shields factorizations

DOI10.2298/FIL2004053GzbMath1498.47068WikidataQ114043023 ScholiaQ114043023MaRDI QIDQ5864798

In Sung Hwang, Caixing Gu, Woo Young Lee

Publication date: 10 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

kernelsHankel operatorsfunctions of bounded typeBeurling-Lax-Halmos theoremcomplementary factor of an inner functionDouglas-Shapiro-Shields factorization

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Hardy spaces (30H10)

Related Items (1)

Recent developments in the interplay between function theory and operator theory for block Toeplitz, Hankel, and model operators

Cites Work

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• Translation invariant spaces
• Hyponormality of block Toeplitz operators
• An operator perspective on signals and systems
• Subnormal Toeplitz operators and functions of bounded type
• An inverse problem for kernels of block Hankel operators
• The Beurling-Lax-Halmos theorem for infinite multiplicity
• Independence of vector-valued functions associated with kernels of block Hankel operators
• Cyclic vectors and invariant subspaces of the backward shift operator
• On two problems concerning linear transformations in Hilbert space
• Separation for kernels of Hankel operators
• Shifts on Hilbert spaces.
• CLASSIFICATION OF $ H^2$-FUNCTIONS ACCORDING TO THE DEGREE OF THEIR CYCLICITY
• Matrix Functions of Bounded Type: An Interplay Between Function Theory and Operator Theory
• Kernels of Hankel operators and hyponormality of Toeplitz operators

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