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Journal of Function Spaces
Volume 2015, Article ID 921456, 11 pages
Research Article

Approximative Compactness and Radon-Nikodym Property in Nearly Dentable Banach Spaces and Applications

1Department of Mathematics, Northeast Forestry University, Harbin 150040, China
2Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China

Received 3 March 2015; Revised 8 April 2015; Accepted 18 April 2015

Academic Editor: Ismat Beg

Copyright © 2015 Shaoqiang Shang and Yunan Cui. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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