Local spectral properties of \(m\)-isometric operators

DOI10.1016/j.jmaa.2023.127717OpenAlexW4386227169MaRDI QIDQ6058862

Teresa Bermúdez, Vladimír Müller, Antonio Martinón

Publication date: 1 November 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127717

zbMATH Keywords

\(m\)-isometrylocal spectral theorydecomposableproperty \((\beta)\)generalised subscalar operator

Mathematics Subject Classification ID

Local spectral properties of linear operators (47A11) Operators on Hilbert spaces (general) (47B02)

Cites Work

• Supercyclicity and hypercyclicity of an isometry plus a nilpotent
• Weighted shift operators which are \(m\)-isometries
• The single valued extension property on a Banach space
• Invariant subspaces and localizable spectrum
• Fredholm and local spectral theory. II: With application to Weyl-type theorems
• The surjectivity radius, packing numbers and boundedness below of linear operators
• Complete hyperexpansivity, subnormality and inverted boundedness conditions.
• \(m\)-isometric transformations of Hilbert space. I
• \(m\)-isometric transformations of Hilbert space. II
• \(m\)-isometric transformations of Hilbert space. III
• On invertible \(m\)-isometrical extension of an \(m\)-isometry
• An isometry plus a nilpotent operator is an \(m\)-isometry. Applications
• On operators with closed analytic core
• The structure of m-isometric weighted shift operators
• Powers of m-isometries
• A Disconjugacy Theorem for Toeplitz Operators
• The single-valued extension property for sums and products of commuting operators
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