Compact full k-rotundity in some Banach spaces

Yunan Cui; Ryszard Płuciennik

doi:10.1016/j.na.2005.02.079

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Title

Compact full k-rotundity in some Banach spaces

Authors

Yunan Cui
Ryszard Płuciennik (WE) ^{[ 1 ][ P ]}

^{[ 1 ]} Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | ^{[ P ]} employee

Year of publication

2005

Published in

Nonlinear Analysis

Journal year: 2005 | Journal volume: vol. 63 | Journal number: no. 5-7

Article type

scientific article

Publication language

english

Keywords

EN

k-rotundity
compactly fully k-rotundity
property (S)
local uniform rotundity
Orlicz space
Orlicz norm

Abstract

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.

Pages (from - to)

e1713 - e1723

DOI

10.1016/j.na.2005.02.079

URL

https://www.sciencedirect.com/science/article/pii/S0362546X0500249X

Impact Factor

0,519

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