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The Spectrum of the Multiplication Operator Associated with a Family of Operators in a Banach Space
Author(s) -
Robert Denk,
Manfred Möller,
Christiane Tretter
Publication year - 2006
Publication title -
birkhäuser-verlag ebooks
Language(s) - English
Resource type - Book series
DOI - 10.1007/3-7643-7453-5_6
Subject(s) - multiplication operator , multiplication (music) , finite rank operator , mathematics , spectrum (functional analysis) , operator (biology) , compact operator , operator theory , quasinormal operator , strictly singular operator , operator space , shift operator , pure mathematics , approximation property , operator norm , banach space , computer science , combinatorics , chemistry , physics , hilbert space , quantum mechanics , repressor , biochemistry , transcription factor , programming language , extension (predicate logic) , gene
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.

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