The Fréchet Derivative of an Analytic Function of a Bounded Operator with Some Applications

The main result in this paper is the determination of the Fréchet derivative of an analytic function of a bounded operator, tangentially to the space of all bounded operators. Some applied problems from statistics and numerical analysis are included as a motivation for this study. The perturbation o...

Full description

Bibliographic Details
Main Authors: D. S. Gilliam, T. Hohage, X. Ji, F. Ruymgaart
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2009/239025