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Scalar-type spectral operators and holomorphic semigroups

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Publication:1069109
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DOI10.1007/BF02573198zbMath0583.47040MaRDI QIDQ1069109

Ralph J. De Laubenfels

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/134809


zbMATH Keywords

scalar-type spectral operatorprojection-valued measurevector-valued function of bounded variation


Mathematics Subject Classification ID

Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)


Related Items (3)

Hilbert, Dirichlet and Fejér families of operators arising from \(C_0\)-groups, cosine functions and holomorphic semigroups ⋮ Semigroups of operators, cosine operator functions, and linear differential equations ⋮ Non-spectrality of generators of some classical analytic semigroups




Cites Work

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  • Characterization of unbounded spectral operators with spectrum in a half- line
  • Semi-groups of scalar type operators and a theorem of Stone
  • A characterization of scalar type operators on reflexive Banach spaces
  • Semigroups of Scalar Type Operators on Banach Spaces




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