Spectral mapping inclusions for the Phillips functional calculus in Banach spaces and algebras
Eva Fašangová ; Pedro J. Miana
Studia Mathematica, Tome 166 (2005), p. 219-226 / Harvested from The Polish Digital Mathematics Library
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We investigate the weak spectral mapping property (WSMP) 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 eAt, t ≥ 0, are multipliers.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:284754 
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Eva Fašangová; Pedro J. Miana. Spectral mapping inclusions for the Phillips functional calculus in Banach spaces and algebras. Studia Mathematica, Tome 166 (2005) pp. 219-226. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm167-3-3/