On the commuting isometries

DOI10.1016/J.LAA.2016.11.037OpenAlexW2556974923MaRDI QIDQ730621

Marek Słociński, Patryk Pagacz, Marek Kosiek, Zbigniew Burdak

Publication date: 28 December 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.11.037

zbMATH Keywords

isometriesWold decompositionnon-compatible isometries

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Subnormal operators, hyponormal operators, etc. (47B20)

Related Items (8)

The joint spectrum for a commuting pair of isometries in certain cases ⋮ Wold-type decomposition for \(\mathcal{U}_n\)-twisted contractions ⋮ On decomposition for pairs of twisted contractions ⋮ Wold-type decomposition of semigroups of isometries in Baer \(\ast\)-rings ⋮ Invariant subspaces of \(\mathcal{H}^2(\mathbb{T}^2)\) and \(L^2(\mathbb{T}^2)\) preserving compatibility ⋮ A unified approach to the decomposition theorems in Baer \(*\)-rings ⋮ Pairs of commuting isometries, I ⋮ A Shimorin-type analytic model on an annulus for left-invertible operators and applications

Cites Work

• The canonical Wold decomposition of commuting isometries with finite dimensional wandering spaces
• On Wold-type decomposition
• Representation and index theory for \(C^*\)-algebras generated by commuting isometries
• Wold decompositions and the unitary model for bi-isometries
• Compatible pairs of commuting isometries
• Wold decomposition for doubly commuting isometries
• Shift-type properties of commuting, completely non doubly commuting pairs of isometries
• Unitary dilations for commuting contractions
• Canonical Models for Bi-isometries
• On the Wold-type decomposition of a pair of commuting isometries
• Multiple Canonical Decompositions of Families of Operators and a Model of Quasinormal Families
• A Wold-type decomposition for commuting isometric pairs
• On decomposition of pairs of commuting isometries
• On a decomposition for pairs of commuting contractions
• On the semi-groups of isometries
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