TY - JOUR
T1 - Logarithmic residues, Rouché's theorem, and spectral regularity: The C*-algebra case
AU - Bart, Harm
AU - Ehrhardt, T
AU - Silbermann, B
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
U2 - 10.1016/j.indag.2012.08.001
DO - 10.1016/j.indag.2012.08.001
M3 - Article
VL - 23
SP - 816
EP - 847
JO - Indagationes Mathematicae
JF - Indagationes Mathematicae
SN - 0019-3577
IS - 4
ER -