Some Metric and Topological Properties of Nearly Strongly and Nearly Very Convex Spaces
Acta mathematica scientia/Acta Mathematica Scientia(2020)
摘要
We obtain characterizations of nearly strong convexity and nearly very convexity by using the dual concept of S and WS points, related to the so-called Rolewicz’s property (α). We give a characterization of those points in terms of continuity properties of the identity mapping. The connection between these two geometric properties is established, and finally an application to approximative compactness is given.
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关键词
Banach spaces,nearly strongly convex spaces,nearly very convex spaces,Kadec property,Radon-Riesz property,approximative compactness
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