Strong mixing Markov semigroups on C₁ are meager

Wojciech Bartoszek; Beata Kuna

Colloquium Mathematicae (2006)

  • Volume: 105, Issue: 2, page 311-317
  • ISSN: 0010-1354

Abstract

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We show that the set of those Markov semigroups on the Schatten class ₁ such that in the strong operator topology l i m t T ( t ) = Q , where Q is a one-dimensional projection, form a meager subset of all Markov semigroups.

How to cite

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Wojciech Bartoszek, and Beata Kuna. "Strong mixing Markov semigroups on C₁ are meager." Colloquium Mathematicae 105.2 (2006): 311-317. <http://eudml.org/doc/284088>.

@article{WojciechBartoszek2006,
abstract = {We show that the set of those Markov semigroups on the Schatten class ₁ 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.},
author = {Wojciech Bartoszek, Beata Kuna},
journal = {Colloquium Mathematicae},
keywords = {Schatten classes; Markov semigroup; mixing; first category},
language = {eng},
number = {2},
pages = {311-317},
title = {Strong mixing Markov semigroups on C₁ are meager},
url = {http://eudml.org/doc/284088},
volume = {105},
year = {2006},
}

TY - JOUR
AU - Wojciech Bartoszek
AU - Beata Kuna
TI - Strong mixing Markov semigroups on C₁ are meager
JO - Colloquium Mathematicae
PY - 2006
VL - 105
IS - 2
SP - 311
EP - 317
AB - We show that the set of those Markov semigroups on the Schatten class ₁ 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.
LA - eng
KW - Schatten classes; Markov semigroup; mixing; first category
UR - http://eudml.org/doc/284088
ER -

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