Fredholm Operators

Israel Gohberg (), Seymour Goldberg () and Marinus A. Kaashoek ()
Additional contact information
Israel Gohberg: Tel Aviv University, School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences
Seymour Goldberg: University of Maryland, Department of Mathematics
Marinus A. Kaashoek: Vrije Universiteit Amsterdam, Department of Mathematics and Computer Science

Chapter Chapter XV in Basic Classes of Linear Operators, 2003, pp 347-360 from Springer

Abstract: Abstract Fredholm operators are operators that have a finite dimensional kernel and an image of finite codimension. This class includes all operators acting between finite dimensional spaces and operators of the form two-sided invertible plus compact. Fredholm operators appear in a natural way in the theory of Toeplitz operators. The main properties of Fredholm operators, the perturbation theorems and the stability of the index, are presented in this chapter. The proofs are based on the fact that these operators can be represented as finite rank perturbations of one-sided invertible operators.

Date: 2003
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-7980-4_15

Ordering information: This item can be ordered from
http://www.springer.com/9783034879804

DOI: 10.1007/978-3-0348-7980-4_15

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().