Complex Convexity of Orlicz Modular Sequence Spaces
Copyright policy )Complex Convexity of Orlicz Modular Sequence Spaces
The concepts of complex extreme points, complex strongly extreme points, complex strict convexity, and complex midpoint locally uniform convexity in general modular spaces are introduced. Then we prove that, for any Orlicz modular sequence spacelΦ,ρ,lΦ,ρis complex midpoint locally uniformly convex. As a corollary,lΦ,ρis also complex strictly convex.
- Harbin University of Science and Technology China (People's Republic of)
Modular spaces, complex strongly extreme point, Geometry and structure of normed linear spaces, Orlicz sequence space, QA1-939, modular space, complex extreme point, modular, Mathematics, Sequence spaces (including Köthe sequence spaces)
Modular spaces, complex strongly extreme point, Geometry and structure of normed linear spaces, Orlicz sequence space, QA1-939, modular space, complex extreme point, modular, Mathematics, Sequence spaces (including Köthe sequence spaces)
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