Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4672871 | Indagationes Mathematicae | 2012 | 32 Pages |
Abstract
Using families of irreducible Hilbert space representations as a tool, the theory of analytic Fredholm operator valued function is extended to a C∗C∗-algebra setting. This includes a C∗C∗-algebra version of Rouché’s Theorem known from complex function theory. Also, criteria for spectral regularity of C∗C∗-algebras are developed. One of those, involving the (generalized) Calkin algebra, is applied to C∗C∗-algebras generated by a non-unitary isometry.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
H. Bart, T. Ehrhardt, B. Silbermann,