\(m\)-isometries, \(n\)-symmetries and other linear transformations which are hereditary roots

DOI10.1007/s00020-012-2026-0zbMath1284.47015OpenAlexW2471320343MaRDI QIDQ1946564

Mark Stankus

Publication date: 15 April 2013

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-012-2026-0

zbMATH Keywords

isometryreducing subspacefactoringresolvent inequalityhereditary functional calculushereditary root

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Equations involving linear operators, with operator unknowns (47A62)

Related Items (18)

Elementary properties of isometries on a Hilbert space ⋮ Some results on \((A; (m, n))\)-isosymmetric operators on a Hilbert space ⋮ On higher order selfadjoint operators ⋮ Classification of hereditary matrices ⋮ A class of operators related to m-symmetric operators ⋮ Linear preservers of \(m\)-selfadjoint operators and high-order isometries ⋮ On [m,C-symmetric Operators] ⋮ Isometric, symmetric and isosymmetric commuting \(d\)-tuples of Banach space operators ⋮ The 3-isometric lifting theorem ⋮ Elementary operators which are \(m\)-isometries ⋮ Some results on higher order isometries and symmetries: products and sums with a nilpotent operator ⋮ The n-inverses of a matrix ⋮ Operator inequalities, functional models and ergodicity ⋮ Decomposing algebraic \(m\)-isometric tuples ⋮ Algebraic properties of operator roots of polynomials ⋮ Functional calculus for m-isometries and related operators on Hilbert spaces and Banach spaces ⋮ Structures of left n-invertible operators and their applications ⋮ The \((m,q)\)-isometric weighted shifts on \(l_{p}\) spaces

Cites Work

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• The Arveson extension theorem and coanalytic models
• Rational dilation on an annulus
• Classification of hereditary matrices
• \(m\)-isometric transformations of Hilbert space. I
• \(m\)-isometric transformations of Hilbert space. II
• \(m\)-isometric transformations of Hilbert space. III
• On roots of normal operators
• A Disconjugacy Theorem for Toeplitz Operators
• Invariant subspaces of the Dirichlet shift.
• Existence of non-subnormal polynomially hyponormal operators
• Approximate Proper Vectors

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