Orlicz sequence spaces that are uniformly rotund in a weakly compact set of directions
Zhongrui Shi ; YuanDi Wang ; Ge Dong
Colloquium Mathematicae, Tome 107 (2007), p. 21-34 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

Necessary and sufficient conditions are given for Orlicz sequence spaces equipped with the Orlicz norm to be uniformly rotund in a weakly compact set of directions, using only conditions on the generating function of the space.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:283531 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm107-1-4,
     author = {Zhongrui Shi and YuanDi Wang and Ge Dong},
     title = {Orlicz sequence spaces that are uniformly rotund in a weakly compact set of directions},
     journal = {Colloquium Mathematicae},
     volume = {107},
     year = {2007},
     pages = {21-34},
     zbl = {1117.46013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm107-1-4}
}

Zhongrui Shi; YuanDi Wang; Ge Dong. Orlicz sequence spaces that are uniformly rotund in a weakly compact set of directions. Colloquium Mathematicae, Tome 107 (2007) pp. 21-34. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm107-1-4/