A ``typical contraction is unitary

DOI10.4171/LEM/56-3-6zbMath1237.47010arXiv0807.1994MaRDI QIDQ536450

Tetyana Lobova

Publication date: 18 May 2011

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.1994

zbMATH Keywords

unitary operatorsisometriesresidual setcontractions

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Ergodic theory of linear operators (47A35) Groups and semigroups of linear operators, their generalizations and applications (47D99)

Related Items (7)

On the complete metrisability of spaces of contractive semigroups ⋮ Local spectral properties of typical contractions on \(\ell_p\)-spaces ⋮ On typical properties of Hilbert space operators ⋮ Does a typical ℓ_{𝑝}-space contraction have a non-trivial invariant subspace? ⋮ The space of contractive \(C_0\)-semigroups is a Baire space ⋮ Typical operators admit common cyclic vectors ⋮ Linear dynamical systems on Hilbert spaces: typical properties and explicit examples

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