CONTINUITY OF RANDOM DERIVATIONS

Authors
VELASCO MV VILLENA AR
Citation
Mv. Velasco et Ar. Villena, CONTINUITY OF RANDOM DERIVATIONS, Proceedings of the American Mathematical Society, 123(1), 1995, pp. 107-120
Citations number
18
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
123
Issue
1
Year of publication
1995
Pages
107 - 120
Database
ISI
SICI code
0002-9939(1995)123:1<107:CORD>2.0.ZU;2-8
Abstract
In this paper we extend the well-known Johnson-Sinclair theorem in a s tochastic sense showing that stochastically derivative linear random o perators on semisimple Banach algebras are stochastically continuous. Besides, we prove that probably derivative linear random operators on semisimple Banach algebras are probably continuous.