Representations with regular norm-behaviour of locally compact abelian semigroups

László Kérchy, and Zoltán Léka. "Representations with regular norm-behaviour of locally compact abelian semigroups." Studia Mathematica 183.2 (2007): 143-160. <http://eudml.org/doc/285035>.

@article{LászlóKérchy2007,
abstract = {We prove that some regularity conditions on unbounded representations of topological abelian semigroups with countable spectral conditions induce a certain stability result extending the well-known Arendt-Batty-Lyubich-Vũ theorem.},
author = {László Kérchy, Zoltán Léka},
journal = {Studia Mathematica},
keywords = {representations of semigroups; regular norm-function; almost convergence; peripheral spectrum},
language = {eng},
number = {2},
pages = {143-160},
title = {Representations with regular norm-behaviour of locally compact abelian semigroups},
url = {http://eudml.org/doc/285035},
volume = {183},
year = {2007},
}

TY - JOUR
AU - László Kérchy
AU - Zoltán Léka
TI - Representations with regular norm-behaviour of locally compact abelian semigroups
JO - Studia Mathematica
PY - 2007
VL - 183
IS - 2
SP - 143
EP - 160
AB - We prove that some regularity conditions on unbounded representations of topological abelian semigroups with countable spectral conditions induce a certain stability result extending the well-known Arendt-Batty-Lyubich-Vũ theorem.
LA - eng
KW - representations of semigroups; regular norm-function; almost convergence; peripheral spectrum
UR - http://eudml.org/doc/285035
ER -