Strong mixing Markov semigroups on C₁ are meager

• Autorzy: Wojciech Bartoszek , Beata Kuna
• Języki publikacji: EN

Abstrakty

EN

We show that the set of those Markov semigroups on the Schatten class 𝓒₁ such that in the strong operator topology $lim_{t→ ∞}T(t) = Q$, where Q is a one-dimensional projection, form a meager subset of all Markov semigroups.

Kategorie tematyczne

• 46L55: Noncommutative dynamical systems
• 37A30: Ergodic theorems, spectral theory, Markov operators
• 47A35: Ergodic theory
• 37A55: Relations with the theory of C * -algebras \SeeMainly{}

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2006
• Tom: 105
• Numer: 2
• Strony: 311-317

Daty

wydano

2006

Twórcy

autor

Wojciech Bartoszek

• Department of Mathematics, Gdańsk University of Technology, Narutowicza 11/12, 80-952 Gdańsk, Poland

autor

Beata Kuna

• Department of Mathematics, Gdańsk University of Technology, Narutowicza 11/12, 80-952 Gdańsk, Poland

Identyfikatory

DOI

10.4064/cm105-2-11