Hypercyclicity and supercyclicity of \(m\)-isometric operators

DOI10.1216/RMJ-2012-42-1-15zbMath1258.47011OpenAlexW2092686138MaRDI QIDQ421998

Masoumeh Faghih-Ahmadi, Karim Hedayatian

Publication date: 16 May 2012

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1327329309

zbMATH Keywords

supercyclicityweak supercyclicity\(m\)-isometries

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (13)

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 ⋮ Unnamed Item ⋮ Products of \(m\)-isometries ⋮ On convex-cyclic operators ⋮ \((A,m)\)-isometries on Hilbert 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 ⋮ Supercyclicity and hypercyclicity of an isometry plus a nilpotent ⋮ Unnamed Item

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