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