The spectrum of the multiplication operator associated with a family of operators in a Banach space

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2006
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Möller, Manfred
Tretter, Christiane
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Published
Erschienen in
FÖRSTER, Karl-Heinz, ed. and others. Operator theory in Krein spaces and nonlinear eigenvalue problems. Basel: Birkhäuser, 2006, pp. 103-116
Zusammenfassung

An operator family of densely defined closed linear operators and the multiplication operator associated with it are considered. The spectrum of this multiplication operator is expressed in terms of the spectra of the operators in the given family.

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Multiplication operator, operator family, vector measure, spectrum
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Zitieren
ISO 690DENK, Robert, Manfred MÖLLER, Christiane TRETTER, 2006. The spectrum of the multiplication operator associated with a family of operators in a Banach space. In: FÖRSTER, Karl-Heinz, ed. and others. Operator theory in Krein spaces and nonlinear eigenvalue problems. Basel: Birkhäuser, 2006, pp. 103-116
BibTex
@incollection{Denk2006spect-692,
  year={2006},
  title={The spectrum of the multiplication operator associated with a family of operators in a Banach space},
  publisher={Birkhäuser},
  address={Basel},
  booktitle={Operator theory in Krein spaces and nonlinear eigenvalue problems},
  pages={103--116},
  editor={Förster, Karl-Heinz},
  author={Denk, Robert and Möller, Manfred and Tretter, Christiane}
}
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