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A Panorama of Modern Operator Theory and Related TopicsSpectral Regularity of Banach Algebras and Non-commutative Gelfand Theory

A Panorama of Modern Operator Theory and Related Topics: Spectral Regularity of Banach Algebras... [A new non-commutative Gelfand type criterion for spectrally regular behavior of vector-valued analytic functions is developed. Applications are given in situations that could not be handled with earlier methods. Some open problems are identified.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Panorama of Modern Operator Theory and Related TopicsSpectral Regularity of Banach Algebras and Non-commutative Gelfand Theory

Part of the Operator Theory: Advances and Applications Book Series (volume 218)
Editors: Dym, Harry; Kaashoek, Marinus A.; Lancaster, Peter; Langer, Heinz; Lerer, Leonid

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Publisher
Springer Basel
Copyright
© Springer Basel AG 2012
ISBN
978-3-0348-0220-8
Pages
123 –153
DOI
10.1007/978-3-0348-0221-5_5
Publisher site
See Chapter on Publisher Site

Abstract

[A new non-commutative Gelfand type criterion for spectrally regular behavior of vector-valued analytic functions is developed. Applications are given in situations that could not be handled with earlier methods. Some open problems are identified.]

Published: Jan 3, 2012

Keywords: Analytic vector-valued function; logarithmic residue; spectral regularity; polynomial identity algebra; radical; family of homomorphisms; family of matrix representations

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