Lindner, Marko ; Silbermann, Bernd : An approach to the Finite Section Method in the space of essentially bounded functions using Limit Operators

Author(s):

Lindner, Marko
Silbermann, Bernd

Title:

An approach to the Finite Section Method in the space of essentially bounded functions using Limit Operators

Electronic source:

application/postscript

Preprint series:

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 2, 2002

Mathematics Subject Classification:

47B37			[ Operators on special spaces ]
65J10			[ Equations with linear operators ]

Abstract:

We present an approach to the finite section method for so called band-dominated operators on $L^\infty(R^n)$. These are the elements of an algebra generated by multiplication and shift operators. Here, the multiplication operators under consideration do not need to have limits at infinity. One of our main tools are so called limit operators.

Keywords:

Language:

English

Publication time:

3 / 2002