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Seidel, Markus; Silbermann, Bernd : Banach Algebras of Structured Matrix Sequences

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