Conjugations in \(L^2\) and their invariants

DOI10.1007/s13324-020-00364-5zbMath1444.47043arXiv1912.13265OpenAlexW3015504211MaRDI QIDQ2179123

Bartosz Łanucha, Marek Ptak, Kamila Kliś-Garlicka, M. Cristina Câmara

Publication date: 12 May 2020

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.13265

zbMATH Keywords

Hardy spaceconjugationtruncated Toeplitz operatormodel space\(C\)-symmetric operatorinvariant subspaces for the unilateral shift

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Entire functions of one complex variable (general theory) (30D20) Hardy spaces (30H10)

Related Items (14)

(Asymmetric) Dual Truncated Toeplitz Operators ⋮ Conjugations in \(L^2(\mathcal{H})\) ⋮ An interpolation problem for conjugations. II ⋮ Shift invariance and reflexivity of compressions of multiplication operators ⋮ An interpolation problem for conjugations ⋮ An interpolation problem for conjugations. III ⋮ Conjugations on Banach \(*\)-algebras ⋮ Commutants and complex symmetry of finite Blaschke product multiplication operator in ⋮ Conjugations on \(L^2\) space on the real line ⋮ Compressions of multiplication operators and their characterizations ⋮ Weighted composition-differentiation operators on the Hardy space ⋮ Conjugations on \(L^2(\mathbb{T}^N)\) and invariant subspaces ⋮ Conjugations preserving Toeplitz kernels ⋮ Complex-self-adjointness

Cites Work

• Unnamed Item
• Unnamed Item
• Harmonic analysis of operators on Hilbert space
• Introduction to Model Spaces and their Operators
• Mathematical and physical aspects of complex symmetric operators
• Algebras of truncated Toeplitz operators
• An Introduction to Operators on the Hardy-Hilbert Space
• Complex symmetric operators and applications II
• Remark on complex symmetric operator matrices
• The characteristic function of a complex symmetric contraction
• Algebraic properties of truncated Toeplitz operators
• Complex symmetric operators and applications
• The Theory ofH(b) Spaces
• Asymmetric truncated toeplitz operators and conjugations
• Large scale detection of half-flats in CAT(0)-spaces

This page was built for publication: Conjugations in \(L^2\) and their invariants