Full paper in PDF:
$%F. Arándiga and V. Caselles, On strongly stable approximations, Rev. Mat. Univ. Complut. Madrid 7 (1994), no. 2, 207217.%$

On Strongly Stable Approximations
Francesc ARŔNDIGA and Vicent CASELLES
Departament de Matemàtica Aplicada i Astronomia
Universitat de València
Dr. Moliner, 50
46100 Burjassot (Valencia) Spain
Departament de Matemàtiques i Informàtica
Universitat del les Illes Balears
Ctra. Valldemossa, Km 7,5
07071 Palma de Mallorca (Balears) Spain

Received: March 17, 1993
Revised: September 30, 1993
ABSTRACT

In this paper we prove that the convergence of (T- Tn)Tkn  to zero in operator norm (plus some technical conditions) is a sufficient condition for Tn  to be a strongly stable approximation to T  , thus extending some previous results existing in the literature.

1991 Mathematics Subject Classification: 65F15, 15A18.