Perturbation of \(m\)-isometries by nilpotent operators

DOI10.1155/2014/745479zbMath1473.47002OpenAlexW2165744160WikidataQ59041152 ScholiaQ59041152MaRDI QIDQ1724876

Juan Agustín Noda, Antonio Martinón, Teresa Bermúdez, Vladimír Müller

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/745479

zbMATH Keywords

Hilbert space\(m\)-isometry\(n\)-nilpotent operator

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55)

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Cites Work

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• Classification of hereditary matrices
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• \(m\)-isometric transformations of Hilbert space. II
• \(m\)-isometric transformations of Hilbert space. III
• An isometry plus a nilpotent operator is an \(m\)-isometry. Applications
• Arithmetic progressions and its applications to \((m,q)\)-isometries: a survey
• m-isometries on Banach spaces
• A Disconjugacy Theorem for Toeplitz Operators
• Invariant subspaces of the Dirichlet shift.
• n-supercyclic operators
• $(m,q)$-Isometries on metric spaces
• m-ISOMETRIC OPERATORS ON BANACH SPACES
• Unnamed Item