Compact full k-rotundity in some Banach spaces
[ 1 ] Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | [ P ] pracownik
2005
artykuł naukowy
angielski
- k-rotundity
- compactly fully k-rotundity
- property (S)
- local uniform rotundity
- Orlicz space
- Orlicz norm
EN Some relationships between compact full k-rotundity, compact local full k-rotundity and some other geometric properties in Banach spaces are discussed. It is also proved that in Orlicz function spaces equipped with the Orlicz norm, the notions of compact full k-rotundity and compact local full k-rotundity coincide. Moreover, it is shown that Orlicz spaces equipped with the Orlicz norm are compactly fully k-rotund if and only if they are reflexive and rotund.
e1713 - e1723
0,519