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The Rouché Theorem for Fredholm functions: An enhanced version.
- Source :
-
Linear Algebra & its Applications . Sep2024, Vol. 697, p184-200. 17p. - Publication Year :
- 2024
-
Abstract
- The classical Rouché Theorem from complex function theory has been generalized to a result involving Fredholm operator valued functions (see [9] and [6]). The setting in question is (generally) a non-commutative one, so actually there are two versions of the generalization. In this paper, a unifying enhanced variant is presented involving the notion of the spectral radius. Its proof is based on a maximum principle for the spectral radius. An example is given showing that the enhanced Rouché Theorem presented here is a genuine improvement over the earlier version of the result. [ABSTRACT FROM AUTHOR]
- Subjects :
- *OPERATOR functions
*FREDHOLM operators
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 697
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 177877522
- Full Text :
- https://doi.org/10.1016/j.laa.2023.10.018