Spectral mapping theorem for integrated semigroups

DOI10.1007/BF02573773zbMath0812.47036OpenAlexW2062853234MaRDI QIDQ688983

Colin R. Day

Publication date: 11 November 1993

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135286

zbMATH Keywords

Cauchy problemresidual spectrumapproximate point spectrum\((C_ 0)\) semigroups\(\alpha\)-times integrated semigroupsspectral mapping theorem for point spectrum

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06)

Related Items (2)

Integrated semigroups and \(C\)-semigroups and their applications ⋮ Semi-Fredholm and semi-Browder spectra for the \(\alpha\)-times integrated semigroups

Cites Work

• One-parameter semigroups of positive operators
• Vector-valued Laplace transforms and Cauchy problems
• Interpolation of semigroups and integrated semigroups
• The spectral mapping theorem for integrated semigroups
• Integrated semigroups and differential operators on \(L^ p\) spaces
• Laplace Transforms and α-Times Integrated Semigroups

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