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Fredholm Indices of Band-Dominated Operators |
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| Authors: | Vladimir S Rabinovich Steffen Roch and John Roe |
| Institution: | (1) ESIME Zacatenco, Instituto Politechnico Nacional, Ed. 1, 2-do piso, Av. IPN, Mexico, D.F., 07738, Mexico;(2) Fachbereich Mathematik, Technische Universität Darmstadt, Schlossgartenstrasse 7, Darmstadt, 64289, Germany;(3) Pennsylvania State University, University Park, 16802, PA, USA |
| Abstract: | The Fredholmness of a band-dominated operator on
is closely
related with the invertibility of its limit operators: the operator is Fredholm if
and only if each of its limit operators is invertible and if the norms of their inverses
are uniformly bounded. The goal of the present note is to show how the
Fredholm index of a Fredholm band-dominated operator can be determined
in terms of its limit operators. |
| Keywords: | Primary: 47A53 Secondary: 46L80 |
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