Common reducing subspaces and decompositions of contractions

DOI10.1515/forum-2022-0042OpenAlexW4288423436MaRDI QIDQ2171918

Yanyan Li

Publication date: 12 September 2022

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.01301

zbMATH Keywords

canonical decompositionvon Neumann-Wold decompositioncommon reducing subspace

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Structure theory of linear operators (47A65) Canonical models for contractions and nonselfadjoint linear operators (47A45) Spectral sets of linear operators (47A25)

Cites Work

• The canonical Wold decomposition of commuting isometries with finite dimensional wandering spaces
• Canonical decomposition of completely nonunitary contractions
• Representation and index theory for \(C^*\)-algebras generated by commuting isometries
• Structure theorems for operators associated with two domains related to \(\mu \)-synthesis
• A Schwarz lemma for a domain related to \(\mu\)-synthesis
• The failure of rational dilation on the tetrablock
• Harmonic analysis of operators on Hilbert space
• Subvarieties of the tetrablock and von Neumann\'s inequality
• 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
• The tetrablock as a spectral set
• Decompositions of operator-valued functions in Hilbert spaces
• Canonical decomposition of a tetrablock contraction and operator model
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