On some properties for dual spaces of Musielak-Orlicz function spaces

Zenon Zbąszyniak

Banach Center Publications, Tome 95 (2011), p. 413-418 / Harvested from The Polish Digital Mathematics Library

Résumé

We will present relationships between the modular ρ* and the norm in the dual spaces $(L_{Φ}) *$ in the case when a Musielak-Orlicz space $L_{Φ}$ is equipped with the Orlicz norm. Moreover, criteria for extreme points of the unit sphere of the dual space $(L ⁰_{Φ}) *$ will be presented.

Publié le : 2011-01-01

Zbl 1238.46015

EUDML-ID : urn:eudml:doc:281699

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     author = {Zenon Zb\k aszyniak},
     title = {On some properties for dual spaces of Musielak-Orlicz function spaces},
     journal = {Banach Center Publications},
     volume = {95},
     year = {2011},
     pages = {413-418},
     zbl = {1238.46015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc92-0-29}
}

Zenon Zbąszyniak. On some properties for dual spaces of Musielak-Orlicz function spaces. Banach Center Publications, Tome 95 (2011) pp. 413-418. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc92-0-29/