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

• Autorzy: Eva Fašangová , Pedro J. Miana
• Języki publikacji: EN

Abstrakty

EN

We investigate the weak spectral mapping property (WSMP)
$\overline{μ̂(σ(A))} = σ(μ̂(A))$,
where A is the generator of a 𝓒₀-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.

Kategorie tematyczne

• 46H30: Functional calculus in topological algebras
• 47A60: Functional calculus
• 47A10: Spectrum, resolvent

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 167
• Numer: 3
• Strony: 219-226

Daty

wydano

2005

Twórcy

autor

Eva Fašangová

• Department of Mathematical Analysis, Charles University, Sokolovská 83, 186 75 Praha, Czech Republic

autor

Pedro J. Miana

• Department of Mathematics, Universidad de Zaragoza, 50009 Zaragoza, Spain

Identyfikatory

DOI

10.4064/sm167-3-3