Padé approximants on Banach space operator equations

Helmut Kröger

Vol. 86 (1980), No. 2, 535–542

DOI: 10.2140/pjm.1980.86.535

Abstract

We examine an operator equation with a linear compact kernel in a Banach space and the Padé Approximant of its solution under a functional. We give a sufficient condition for convergence of a subsequence of Padé Approximants to the solution.

Mathematical Subject Classification 2000

Primary: 41A21

Milestones

Received: 6 April 1977

Revised: 12 July 1979

Published: 1 February 1980