Abstract
In this chapter we introduce a class of operators for which the converse of Corollary 1.3.10 can be proved: if the symbol of the operator is invertible, then the operator is P-Fredholm. The class under consideration consists of band and band-dominated operators which act on lP-spaces over ℝN. In the forthcoming chapters we will point out that this class is large enough to include, e.g., discretizations of convolution operators and of pseudodifferential operators.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer Basel AG
About this chapter
Cite this chapter
Rabinovich, V., Silbermann, B., Roch, S. (2004). Fredholmness of Band-dominated Operators. In: Limit Operators and Their Applications in Operator Theory. Operator Theory: Advances and Applications, vol 150. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7911-8_2
Download citation
DOI: https://doi.org/10.1007/978-3-0348-7911-8_2
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9619-1
Online ISBN: 978-3-0348-7911-8
eBook Packages: Springer Book Archive