Displaying similar documents to “Theoremes of the Orlicz-Pettis-Type for Locally Convex Spaces.”

On ω-convex functions

Tomasz Szostok (2011)

Banach Center Publications

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In Orlicz spaces theory some strengthened version of the Jensen inequality is often used to obtain nice geometrical properties of the Orlicz space generated by the Orlicz function satisfying this inequality. Continuous functions satisfying the classical Jensen inequality are just convex which means that such functions may be described geometrically in the following way: a segment joining every pair of points of the graph lies above the graph of such a function. In the current paper we...

On the KR and WKR points of Orlicz.

Yunan Cui, Yunfeng Zhang (1997)

Collectanea Mathematica

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In this paper, we obtain criteria for KR and WKR points in Orlicz function spaces equipped with the Luxemburg norm.

On the locally uniformly weak star rotundity of Orlicz spaces.

Ting Fu Wang, Zhong Rui Shi (1994)

Revista Matemática de la Universidad Complutense de Madrid

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In the paper, a sufficient and necessary condition is given for the locally uniformly weak star rotundity of Orlicz spaces with Orlicz norms.