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The Spectrum of the Multiplication Operator Associated with a Family of Operators in a Banach Space

  • R. Denk
  • M. Möller
  • C. Tretter
Conference paper
Part of the Operator Theory: Advances and Applications book series (OT, volume 162)

Abstract

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.

Keywords

Multiplication operator operator family vector measure spectrum 

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Copyright information

© Birkhäuser Verlag Basel/Switzerland 2005

Authors and Affiliations

  • R. Denk
    • 1
  • M. Möller
    • 2
  • C. Tretter
    • 3
  1. 1.Fachbereich Mathematik und StatistikUniversität KonstanzKonstanzGermany
  2. 2.School of MathematicsUniversity of the WitwatersrandSouth Africa
  3. 3.FB 3 — MathematikUniversität BremenBremenGermany

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