RMC - Vol. 7, Num. 2 - F. Arándiga/V. Caselles

Full paper in PDF:
$%F. Arándiga and V. Caselles, On strongly stable approximations, Rev. Mat. Univ. Complut. Madrid 7 (1994), no. 2, 207–217.%$

On Strongly Stable Approximations

Francesc ARÀNDIGA 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.