Canonical Models for Bi-isometries

DOI10.1007/978-3-0348-0221-5_7zbMath1266.47025OpenAlexW1485795482MaRDI QIDQ2915192

Hari Bercovici, Ciprian Foias, Ronald G. Douglas

Publication date: 21 September 2012

Published in: A Panorama of Modern Operator Theory and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0221-5_7

zbMATH Keywords

characteristic functionsimilarityfunctional modelbi-isometrypivotal operator

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items

Factorizations of contractions, The canonical Wold decomposition of commuting isometries with finite dimensional wandering spaces, Wold-type decomposition for \(\mathcal{U}_n\)-twisted contractions, Wold-type decompositions in Baer \(\ast\)-rings, Bi-isometries reducing the hyper-ranges of the coordinates, On decomposition for pairs of twisted contractions, Pure inner functions, distinguished varieties and toral algebraic commutative contractive pairs, Wold decomposition for doubly commuting isometries, Shift-type properties of commuting, completely non doubly commuting pairs of isometries, Wold-Słociński decompositions for commuting isometric triples, On the commuting isometries, On the commutator and Fredholmness of isometric pair, On the Wold-type decompositions for n-tuples of commuting isometric semigroups, Curvature Invariant and Generalized Canonical Operator Models – I

Cites Work

• Invariant subspaces in the polydisk
• Representation and index theory for \(C^*\)-algebras generated by commuting isometries
• Metric constrained interpolation, commutant lifting and systems
• Wold decompositions and the unitary model for bi-isometries
• Similarity of operators and geometry of eigenvector bundles
• Harmonic analysis of operators on Hilbert space
• On two problems concerning linear transformations in Hilbert space
• Canonical Models For Bi-Isometries
• On the Wold-type decomposition of a pair of commuting isometries
• On contractions similar to isometries and Toeplitz operators
• A Wold-type decomposition for commuting isometric pairs
• On the semi-groups of isometries
• On Extending Commutative Semigroups of Isometries
• Theory of operator algebras I.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item