The canonical Wold decomposition of commuting isometries with finite dimensional wandering spaces

DOI10.1016/J.BULSCI.2012.12.007zbMath1284.47022OpenAlexW2019245810MaRDI QIDQ385942

Zbigniew Burdak, Marek Słociński, Marek Kosiek

Publication date: 13 December 2013

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2012.12.007

zbMATH Keywords

Wold decompositioncommuting isometries

Mathematics Subject Classification ID

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

Related Items (17)

Wold-type decomposition of semigroups of isometries in Baer \(\ast\)-rings. II ⋮ The role of the algebraic structure in Wold-type decomposition ⋮ An operator-valued kernel associated with a commuting tuple of Hilbert space operators ⋮ Common reducing subspaces and decompositions of contractions ⋮ 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 ⋮ 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 ⋮ Wold-type decompositions for a commutative pair of noncommutative semigroups of isometries ⋮ On the commuting isometries ⋮ Pairs of commuting isometries, I ⋮ The role of algebraic structure in the invariant subspace theory ⋮ On the Wold-type decompositions for n-tuples of commuting isometric semigroups ⋮ Structure theorems for star-commuting power partial isometries

Cites Work

• Representation and index theory for \(C^*\)-algebras generated by commuting isometries
• Wold decompositions and the unitary model for bi-isometries
• 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 the semi-groups of isometries
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