Vector measures and the strong operator topology

A fundamental result of Nigel Kalton is used to establish a result for operator valued measures which has improved versions of the Vitali-Hahn-Saks Theorem, Phillips's Lemma, the Orlicz-Pettis Theorem and other classical results as straightforward corollaries.

Saved in:
Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2009-07, Vol.137 (7), p.2345-2350
Main Authors: Lewis, Paul, Muller, Kimberly, Yingst, Andy
Format: Article
Language:English
Subjects:
Algebra
Banach space
Exact sciences and technology
General mathematics
General, history and biography
Integers
Mathematical functions
Mathematical theorems
Mathematical vectors
Mathematics
Perceptron convergence procedure
Sciences and techniques of general use
Strong operator topologies
Topological theorems
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A fundamental result of Nigel Kalton is used to establish a result for operator valued measures which has improved versions of the Vitali-Hahn-Saks Theorem, Phillips's Lemma, the Orlicz-Pettis Theorem and other classical results as straightforward corollaries.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-09-09797-4