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Multiplication Operators

Published:2023-01-30 Issue: Volume: Page:175-206
ISSN:
Container-title:Operator Theory by Example
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Author:

Garcia Stephan Ramon,Mashreghi Javad,Ross William T.

Abstract

AbstractWe discuss multiplication operators Mφf = φf on L2(μ), where μ is a finite positive Borel measure on a compact set in ℂ and φ is a μ-essentially bounded function. These operators represent normal operators on Hilbert spaces via the spectral theorem.

Publisher

Oxford University PressOxford

Link

https://academic.oup.com/book/chapter-pdf/49565963/oso-9780192863867-chapter-8.pdf

Reference380 articles.

1. The spectral multiplicity of a multiplication operator;Indiana Univ. Math. J.,1972

2. Analytic properties of the Schmidt pairs of a Hankel operator and the generalized Schur-Takagi problem;Mat. Sb. (N.S.),1971

3. A disconjugacy theorem for Toeplitz operators;Amer. J. Math.,1990

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