Approximative Compactness and Radon-Nikodym Property in w∗ Nearly Dentable Banach Spaces and Applications. (6th May 2015)

• Record Type: Journal Article
• Authors: Shang, Shaoqiang; Cui, Yunan
• Other Names: Beg Ismat Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2015(2015)
• Publication Date: 2015-05-06
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2015/921456
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : Authors definew ∗ nearly dentable Banach space. Authors study Radon-Nikodym property, approximative compactness and continuity metric projector operator inw ∗ nearly dentable space. Moreover, authors obtain some examples ofw ∗ nearly dentable space in Orlicz function spaces. Finally, by the method of geometry of Banach spaces, authors give important applications ofw ∗ nearly dentability in generalized inverse theory of Banach space.