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)


Universal Pettis integrability property

Author: Gunnar F. Stefánsson
Journal: Proc. Amer. Math. Soc. 123 (1995), 1431-1435
MSC: Primary 46G10; Secondary 28B05, 46E40
MathSciNet review: 1277135
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Functions into duals and pre-duals of weakly compactly generated spaces (WCG) are studied.

We show that a universally weakly measurable function f into a dual of a WCG has the RS property. Also, for such a function, we sharpen the decomposition obtained by E. M. Bator (1988).

We show that bounded weakly measurable functions into pre-duals of WCG spaces are always Pettis integrable, universally weakly measurable, or not.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46G10, 28B05, 46E40

Retrieve articles in all journals with MSC: 46G10, 28B05, 46E40

Additional Information

PII: S 0002-9939(1995)1277135-5
Keywords: Universally weakly measurable, $ {\text{weak}^ \ast }$ integral, Pettis integral
Article copyright: © Copyright 1995 American Mathematical Society