Strong mixing Markov semigroups on ${C}_1$ are meager

Tom 105 / 2006

Wojciech Bartoszek, Beata Kuna Colloquium Mathematicum 105 (2006), 311-317 MSC: Primary 46L55, 47A35; Secondary 37A30, 37A55. DOI: 10.4064/cm105-2-11

Streszczenie

We show that the set of those Markov semigroups on the Schatten class ${\cal C}_{1}$ such that in the strong operator topology $\lim_{t \to \infty} T(t) = Q $, where $Q$ is a one-dimensional projection, form a meager subset of all Markov semigroups.

Autorzy

  • Wojciech BartoszekDepartment of Mathematics
    Gdańsk University of Technology
    Narutowicza 11/12
    80-952 Gdańsk, Poland
    e-mail
  • Beata KunaDepartment of Mathematics
    Gdańsk University of Technology
    Narutowicza 11/12
    80-952 Gdańsk, Poland

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek