On extreme points of bounded sets of generalized finite sequence spaces
β Scribed by K. O. Kortanek; H. M. Strojwas
- Publisher
- Springer
- Year
- 1983
- Tongue
- English
- Weight
- 401 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0340-9422
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
## 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 βextremalβ and βniceβ