Displaying similar documents to “Metric projections and best approximants in Bochner-Orlicz spaces.”

A characterization of Orlicz spaces isometric to Lp-spaces.

Grzegorz Lewicki (1997)

Collectanea Mathematica

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In this note we present an affirmative answer to the problem posed by M. Baronti and C. Franchetti (oral communication) concerning a characterization of Lp-spaces among Orlicz sequence spaces. In fact, we show a more general characterization of Orlicz spaces isometric to Lp-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...