Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Weak convergence
of inner superposition operators

Authors: Mikhail E. Drakhlin and Eugene Stepanov
Journal: Proc. Amer. Math. Soc. 126 (1998), 173-179
MSC (1991): Primary 47B38, 47A67, 34K05
MathSciNet review: 1403121
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The equivalence of the weak (pointwise) and strong convergence of a sequence of inner superposition operators is proved as well as the criteria for such convergence are provided. Besides, the problems of continuous weak convergence of such operators and of representation of a limit operator are studied.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 47B38, 47A67, 34K05

Retrieve articles in all journals with MSC (1991): 47B38, 47A67, 34K05

Additional Information

Mikhail E. Drakhlin
Affiliation: Research Institute, College of Judea and Samaria, Kedumim-Ariel, D.N. Efraim 44820, Israel

Eugene Stepanov
Affiliation: Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy

PII: S 0002-9939(98)03949-5
Received by editor(s): October 23, 1995
Received by editor(s) in revised form: July 3, 1996
Communicated by: Palle E. T. Jorgensen
Article copyright: © Copyright 1998 American Mathematical Society