Article ID Journal Published Year Pages File Type
843613 Nonlinear Analysis: Theory, Methods & Applications 2009 7 Pages PDF
Abstract
The concepts of complex strongly extreme point and complex midpoint local uniform rotundity in complex Banach spaces are introduced. It is proved that every complex strongly extreme point is a complex extreme point and every complex locally uniformly rotund point is a complex strongly extreme point. Moreover, criteria for complex strongly extreme points of the unit ball and, as a corollary, criteria for complex midpoint local uniform rotundity in Musielak-Orlicz function spaces are given.
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