Spectral mapping inclusions for the Phillips functional
calculus in Banach spaces and algebras
Studia Mathematica, Tome 167 (2005) no. 3, pp. 219-226
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We investigate the weak spectral mapping property (WSMP) $$ \overline {\widehat {\mu }(\sigma (A))}=\sigma (\widehat {\mu }(A)), $$ where $A$ is the generator of a ${\mathcal C}_0$-semigroup in a Banach space $X $, $\mu $ is a measure, and $\widehat {\mu }(A)$ is defined by the Phillips functional calculus. We consider the special case when $X$ is a Banach algebra and the operators $e^{At}$, $t\geq 0,$ are multipliers.
Keywords:
investigate weak spectral mapping property wsmp overline widehat sigma sigma widehat where generator mathcal semigroup banach space measure widehat defined phillips functional calculus consider special banach algebra operators geq multipliers
Affiliations des auteurs :
Eva Fašangová 1 ; Pedro J. Miana 2
@article{10_4064_sm167_3_3,
author = {Eva Fa\v{s}angov\'a and Pedro J. Miana},
title = {Spectral mapping inclusions for the {Phillips} functional
calculus in {Banach} spaces and algebras},
journal = {Studia Mathematica},
pages = {219--226},
publisher = {mathdoc},
volume = {167},
number = {3},
year = {2005},
doi = {10.4064/sm167-3-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm167-3-3/}
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TY - JOUR AU - Eva Fašangová AU - Pedro J. Miana TI - Spectral mapping inclusions for the Phillips functional calculus in Banach spaces and algebras JO - Studia Mathematica PY - 2005 SP - 219 EP - 226 VL - 167 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm167-3-3/ DO - 10.4064/sm167-3-3 LA - en ID - 10_4064_sm167_3_3 ER -
%0 Journal Article %A Eva Fašangová %A Pedro J. Miana %T Spectral mapping inclusions for the Phillips functional calculus in Banach spaces and algebras %J Studia Mathematica %D 2005 %P 219-226 %V 167 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/sm167-3-3/ %R 10.4064/sm167-3-3 %G en %F 10_4064_sm167_3_3
Eva Fašangová; Pedro J. Miana. Spectral mapping inclusions for the Phillips functional calculus in Banach spaces and algebras. Studia Mathematica, Tome 167 (2005) no. 3, pp. 219-226. doi: 10.4064/sm167-3-3
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