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On extreme points of bounded sets of generalized finite sequence spaces

✍ Scribed by K. O. Kortanek; H. M. Strojwas


Publisher
Springer
Year
1983
Tongue
English
Weight
401 KB
Volume
27
Category
Article
ISSN
0340-9422

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πŸ“œ SIMILAR VOLUMES


On extreme points of convex sets
✍ Lester E. Dubins πŸ“‚ Article πŸ“… 1962 πŸ› Elsevier Science 🌐 English βš– 355 KB

A convex subset K of a vector space E over the field of real numbers is linearly bounded (linearly closed) if every line intersects K in a bounded (closed) subset of the line. A hyperplane is the set of x ~ E that satisfy a linear equationf(x) = c, wherefis a linear functional and c is a real number

Closedness of the Set of Extreme Points
✍ Antonio Suarez-Granero; Marek WisΕ‚a πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 708 KB

## Abstract The aim of the paper is to give necessary and sufficient conditions under which the set of extreme points of the unit ball of an Orlicz space __L__^Ο•^(ΞΌ), equipped with the Luxemburg norm, is closed. Using that description a theorem is given saying when the notions β€œextremal” and β€œnice”