Seidel, Markus ; Silbermann, Bernd : Banach Algebras of Structured Matrix Sequences
- Author(s):
-
Seidel, Markus
Silbermann, Bernd
- Title:
- Banach Algebras of Structured Matrix Sequences
- Electronic source:
-
application/pdf
- Preprint series:
- Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 6, 2008
- Mathematics Subject Classification:
-
47N40 [ Applications in numerical analysis ] 47B36 [ Jacobi and generalizations ] 47A58 [ Operator approximation theory ] 65J10 [ Equations with linear operators ] - Abstract:
- We discuss the asymptotic behavior of matrix sequences belonging to a special class of non-commutative Banach algebras and study, in particular, the stability, and more general the Fredholm property of such sequences. The abstract results are applied to finite sections of band-dominated operators, especially in the case $l^p(Z)$, $1 \leq p \leq \infty$.
- Keywords:
- Matrix sequences, Approximation numbers, Band-dominated
operators, Finite sections, k-splitting-property
- Language:
-
English
- Publication time:
- 4 / 2008
