Compact full k-rotundity in some Banach spaces

✍ Scribed by Yunan Cui; Ryszard Płuciennik

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 161 KB
• Volume: 63
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/j.na.2005.02.079

✦ Synopsis

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.