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Logarithmic residues, Rouché’s theorem, and spectral regularity: The C∗-algebra case
- Source :
- Indagationes Mathematicae. (4):816-847
- Publisher :
- Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V.
-
Abstract
- Using families of irreducible Hilbert space representations as a tool, the theory of analytic Fredholm operator valued function is extended to a C∗-algebra setting. This includes a C∗-algebra version of Rouché’s Theorem known from complex function theory. Also, criteria for spectral regularity of C∗-algebras are developed. One of those, involving the (generalized) Calkin algebra, is applied to C∗-algebras generated by a non-unitary isometry.
Details
- Language :
- English
- ISSN :
- 00193577
- Issue :
- 4
- Database :
- OpenAIRE
- Journal :
- Indagationes Mathematicae
- Accession number :
- edsair.core.ac.uk....a7fb8385d95259497f3ac8b4940e883a
- Full Text :
- https://doi.org/10.1016/j.indag.2012.08.001