Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-12-07T09:52:59.520Z Has data issue: false hasContentIssue false

Eigenvalues of matrix-valued analytic maps

Published online by Cambridge University Press:  09 April 2009

K. R. Parthasarathy
Affiliation:
Indian Statistical Institute 7 S.J.S. Sansanwal Marg New Delhi, 110 029 India
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

An elementary and self-contained account of analytic Jordan decomposition of matrix-valued analytic functions is given. An integral representation for their eigenvalues is obtained. This leads to estimates of the differences in eigenvalues and the number of points of degeneracy.

MSC classification

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1978

References

Kato, T. (1976), Perturbation Theory for Linear Operators, 2nd ed. (Springer-Verlag, New York).Google Scholar
Knopp, K. (1945), Theory of Functions, Part One (Dover, New York).Google Scholar
Uspensky, J. V. (1948), Theory of Equations (Tata McGraw-Hill, Bombay).Google Scholar