On the orbit of an \(m\)-isometry

DOI10.1007/s00020-009-1700-3zbMath1196.47007OpenAlexW2018310124MaRDI QIDQ1037197

Isabel Marrero, Teresa Bermúdez, Antonio Martinón

Publication date: 13 November 2009

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

Full work available at URL: https://doi.org/10.1007/s00020-009-1700-3

zbMATH Keywords

isometrysupercyclicity\(m\)-isometry\(N\)-supercyclicity

Mathematics Subject Classification ID

Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (17)

Weighted shift and composition operators on \(\ell_{p}\) which are \((m,q)\)-isometries ⋮ Ergodic and dynamical properties of \(m\)-isometries ⋮ (m, p)-isometric and (m, ∞)-isometric operator tuples on normed spaces ⋮ Powers of \(A\)-\(m\)-isometric operators and their supercyclicity ⋮ Arithmetic progressions and its applications to \((m,q)\)-isometries: a survey ⋮ Operators intertwining with isometries and Brownian parts of 2-isometries ⋮ Unnamed Item ⋮ On higher order selfadjoint operators ⋮ On (k,n) power quasinormal operators ⋮ Products of \(m\)-isometries ⋮ \(A\)-\(m\)-isometric operators in semi-Hilbertian spaces ⋮ Exponentially \(m\)-isometric operators on Hilbert spaces ⋮ On the second parameter of an \((m, p)\)-isometry ⋮ \(m\)-isometric weighted shifts and reflexivity of some operators ⋮ An isometry plus a nilpotent operator is an \(m\)-isometry. Applications ⋮ On \(n\)-quasi-\([m,C\)-isometric operators] ⋮ The properties of [∞,C-isometric operators]

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