Displaying similar documents to “A generalized mixed topology on Orlicz spaces.”

Order continuous seminorms and weak compactness in Orlicz spaces.

Marian Nowak (1993)

Collectanea Mathematica

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Let L-phi be an Orlicz space defined by a Young function phi over a sigma-finite measure space, and let phi* denote the complementary function in the sense of Young. We give a characterization of the Mackey topology tau(L*,L-phi*) in terms of some family of norms defined by some regular Young functions. Next we describe order continuous (=absolutely continuous) Riesz seminorms on L-phi, and obtain a criterion for relative sigma(L-phi,L-phi*)-compactness in L-phi. As an application we...

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.

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.