Spectral mapping inclusions for the Phillips functional calculus in Banach spaces and algebras

Eva Fašangová, and Pedro J. Miana. "Spectral mapping inclusions for the Phillips functional calculus in Banach spaces and algebras." Studia Mathematica 167.3 (2005): 219-226. <http://eudml.org/doc/284754>.

@article{EvaFašangová2005,
abstract = {We investigate the weak spectral mapping property (WSMP) $\overline\{μ̂(σ(A))\} = σ(μ̂(A))$, where A is the generator of a ₀-semigroup in a Banach space X, μ is a measure, and μ̂(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 ≥ 0, are multipliers.},
author = {Eva Fašangová, Pedro J. Miana},
journal = {Studia Mathematica},
keywords = {spectral mapping property; strongly continuous semigroups; Banach algebras},
language = {eng},
number = {3},
pages = {219-226},
title = {Spectral mapping inclusions for the Phillips functional calculus in Banach spaces and algebras},
url = {http://eudml.org/doc/284754},
volume = {167},
year = {2005},
}

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
VL - 167
IS - 3
SP - 219
EP - 226
AB - We investigate the weak spectral mapping property (WSMP) $\overline{μ̂(σ(A))} = σ(μ̂(A))$, where A is the generator of a ₀-semigroup in a Banach space X, μ is a measure, and μ̂(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 ≥ 0, are multipliers.
LA - eng
KW - spectral mapping property; strongly continuous semigroups; Banach algebras
UR - http://eudml.org/doc/284754
ER -