Translator Disclaimer
2015 New criteria for the weak Radon-Nikodým property related to set-valued operators
Keun Young Lee
Rocky Mountain J. Math. 45(5): 1511-1526 (2015). DOI: 10.1216/RMJ-2015-45-5-1511

Abstract

In this paper, we deal with new equivalent conditions for the localized weak Radon-Nikod\'ym property in dual Banach space related to set-valued operators. First, we introduce the geometric definition of the weak Radon-Nikod\'ym property and the weakly fragmented set-valued operator. Next, using the weakly fragmented mapping, we reveal the relation between the weak Radon-Nikod\'ym property and the weakly single-valued operator. Finally, using this relation and the concept of the exposed point, the main theorem is given together with some applications.

Citation

Download Citation

Keun Young Lee. "New criteria for the weak Radon-Nikodým property related to set-valued operators." Rocky Mountain J. Math. 45 (5) 1511 - 1526, 2015. https://doi.org/10.1216/RMJ-2015-45-5-1511

Information

Published: 2015
First available in Project Euclid: 26 January 2016

zbMATH: 1352.46018
MathSciNet: MR3452226
Digital Object Identifier: 10.1216/RMJ-2015-45-5-1511

Subjects:
Primary: 46B22
Secondary: 46G10

Rights: Copyright © 2015 Rocky Mountain Mathematics Consortium

JOURNAL ARTICLE
16 PAGES


SHARE
Vol.45 • No. 5 • 2015
Back to Top