Entropy of dynamical systems and perturbations of operators

DOI10.1017/S0143385700006489zbMath0783.47009OpenAlexW1966038587MaRDI QIDQ4007823

Dan-Virgil Voiculescu

Publication date: 27 September 1992

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700006489

zbMATH Keywords

Kolmogorov-Sinai entropyautomorphisms of hyperfinite von Neumann algebras with invariant normal statesperturbations of Hilbert space operatorsSchatten von Neumann class

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Noncommutative dynamical systems (46L55) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Perturbation theory of linear operators (47A55) Ergodic theory (37A99)

Related Items

Commutants mod normed ideals ⋮ Entropy of Random Walks on Groups and the Macaev Norm ⋮ Une nouvelle définition de l'entropie dynamique des systèmes non commutatifs. (A new definition of dynamical entropy of non-commutative systems) ⋮ Entropy of some automorphisms of the \(II_ 1\)-factor of the free group in infinite number of generators ⋮ Ergodic theory and maximal abelian subalgebras of the hyperfinite factor

Cites Work

• s-numbers of singular integrals for the invariance of absolutely continuous spectra in fractional dimensions
• Dynamical entropy of C *-algebras and von Neumann algebras
• Entropy for automorphisms of \(II_1\) von Neumann algebras
• On the existence of quasicentral approximate units relative to normed ideals. I

This page was built for publication: Entropy of dynamical systems and perturbations of operators