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

Abstract EN

Authors define w∗ nearly dentable Banach space.

Authors study Radon-Nikodym property, approximative compactness and continuity metric projector operator in w∗ nearly dentable space.

Moreover, authors obtain some examples of w∗ nearly dentable space in Orlicz function spaces.

Finally, by the method of geometry of Banach spaces, authors give important applications of w∗ nearly dentability in generalized inverse theory of Banach space.