Asymptotic behaviour of semigroups of nonnegative operators on a Banach lattice

Jolanta Socała

Annales Polonici Mathematici (2003)

  • Volume: 82, Issue: 2, page 95-103
  • ISSN: 0066-2216

Abstract

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Asymptotic convergence theorems for semigroups of nonnegative operators on a Banach lattice, on C(X) and on L p ( X ) (1 ≤ p ≤ ∞) are proved. The general results are applied to a class of semigroups generated by some differential equations.

How to cite

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Jolanta Socała. "Asymptotic behaviour of semigroups of nonnegative operators on a Banach lattice." Annales Polonici Mathematici 82.2 (2003): 95-103. <http://eudml.org/doc/280219>.

@article{JolantaSocała2003,
abstract = {Asymptotic convergence theorems for semigroups of nonnegative operators on a Banach lattice, on C(X) and on $L^p(X)$ (1 ≤ p ≤ ∞) are proved. The general results are applied to a class of semigroups generated by some differential equations.},
author = {Jolanta Socała},
journal = {Annales Polonici Mathematici},
keywords = {nonnegative operator; asymptotic behaviour; semigroup; exponentially stationary},
language = {eng},
number = {2},
pages = {95-103},
title = {Asymptotic behaviour of semigroups of nonnegative operators on a Banach lattice},
url = {http://eudml.org/doc/280219},
volume = {82},
year = {2003},
}

TY - JOUR
AU - Jolanta Socała
TI - Asymptotic behaviour of semigroups of nonnegative operators on a Banach lattice
JO - Annales Polonici Mathematici
PY - 2003
VL - 82
IS - 2
SP - 95
EP - 103
AB - Asymptotic convergence theorems for semigroups of nonnegative operators on a Banach lattice, on C(X) and on $L^p(X)$ (1 ≤ p ≤ ∞) are proved. The general results are applied to a class of semigroups generated by some differential equations.
LA - eng
KW - nonnegative operator; asymptotic behaviour; semigroup; exponentially stationary
UR - http://eudml.org/doc/280219
ER -

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