On Wold-type decomposition

DOI10.1016/j.laa.2011.09.001zbMath1254.47021OpenAlexW2034139225MaRDI QIDQ417422

Patryk Pagacz

Publication date: 14 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.09.001

zbMATH Keywords

Fuglede-Putnam theorem\((p,k)\)-quasihyponormal operators\(*\)-paranormal operators\(C_{.0}\)-contraction\(k\)-paranormal operators

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items (13)

Wold-type decomposition of semigroups of isometries in Baer \(\ast\)-rings. II ⋮ On -quasi class Operators ⋮ Asymptotic limits of operators similar to normal operators ⋮ Wold-type decompositions in Baer \(\ast\)-rings ⋮ On properties of class \(A(n)\) and \(n\)-paranormal operators ⋮ Wold-type decomposition of semigroups of isometries in Baer \(\ast\)-rings ⋮ A Putnam-Fuglede commutativity property for Hilbert space operators ⋮ PF property and property \((\beta )\) for paranormal operators ⋮ The \(k\)-quasi-\(\ast\)-class \(\mathcal A\) contractions have property PF ⋮ On the commuting isometries ⋮ Reducibility of invariant subspaces of operators related to \(k\)-quasiclass-\(A(n)\) operators ⋮ A Shimorin-type analytic model on an annulus for left-invertible operators and applications ⋮ The role of algebraic structure in the invariant subspace theory

Cites Work

• Hyponormal contractions and strong power convergence
• On unitary parts of contractions
• On characterising contractions with \(C_{10}\) pure part
• Isolated points of spectrum of (\(p,k\))-quasihyponormal operators
• The Fuglede--Putnam theorem for \((p,k)\)-quasihyponormal operators
• Quasi-similar k-paranormal operators
• A note on k-paranormal operators
• Operators which have a closed quasi-nilpotent part
• On (p,k)-quasihyponormal operators
• CONTRACTIONS OF CLASS Q AND INVARIANT SUBSPACES
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