Uniformly noncreasy Orlicz spaces
[ 1 ] Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | [ P ] employee
2005
scientific article
english
- Köthe space
- Orlicz space
- uniform convexity
- uniform smoothness
- uniform noncreaseness
- uniform monotonicity
- orthogonal uniform convexity
- fixed point property
EN The geometric properties which are considered are closely related to the fixed point property (see [14] and [20]). Criteria in order that Orlicz spaces are uniformly noncreasy are given. It is shown that uniform noncreaseness and orthogonal uniform convexity are not comparable one to another in general. It is also proved that uniformly monotone Köthe space with a uniformly monotone dual is orthogonally uniformly convex and the converse is not true. It is noticed that orthogonal uniform convexity is not self-dual property.
349 - 364
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