Ergodic theorems and perturbations of contraction semigroups

Marta Tyran-Kamińska

Studia Mathematica (2009)

  • Volume: 195, Issue: 2, page 147-155
  • ISSN: 0039-3223

Abstract

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We provide sufficient conditions for sums of two unbounded operators on a Banach space to be (pre-)generators of contraction semigroups. Necessary conditions and applications to positive emigroups on Banach lattices are also presented.

How to cite

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Marta Tyran-Kamińska. "Ergodic theorems and perturbations of contraction semigroups." Studia Mathematica 195.2 (2009): 147-155. <http://eudml.org/doc/284659>.

@article{MartaTyran2009,
abstract = {We provide sufficient conditions for sums of two unbounded operators on a Banach space to be (pre-)generators of contraction semigroups. Necessary conditions and applications to positive emigroups on Banach lattices are also presented.},
author = {Marta Tyran-Kamińska},
journal = {Studia Mathematica},
keywords = {-semigroup of contractions; perturbation of semigroup; positive semigroup; dissipative operator; mean ergodic; power bounded operator; quasicompact operator},
language = {eng},
number = {2},
pages = {147-155},
title = {Ergodic theorems and perturbations of contraction semigroups},
url = {http://eudml.org/doc/284659},
volume = {195},
year = {2009},
}

TY - JOUR
AU - Marta Tyran-Kamińska
TI - Ergodic theorems and perturbations of contraction semigroups
JO - Studia Mathematica
PY - 2009
VL - 195
IS - 2
SP - 147
EP - 155
AB - We provide sufficient conditions for sums of two unbounded operators on a Banach space to be (pre-)generators of contraction semigroups. Necessary conditions and applications to positive emigroups on Banach lattices are also presented.
LA - eng
KW - -semigroup of contractions; perturbation of semigroup; positive semigroup; dissipative operator; mean ergodic; power bounded operator; quasicompact operator
UR - http://eudml.org/doc/284659
ER -

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