Characterizations of some monotonicity properties of a lattice norm in Musielak-Orlicz spaces
Wiesław Kurc (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “Moduli and characteristics of monotonicity in some Banach lattices.”
Characterizations of some monotonicity properties of a lattice norm in Musielak-Orlicz spaces
The fixed point property in Musielak-Orlicz sequence spaces
Harold Bevan Thompson, Yunan Cui (2001)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we give necessary and sufficient conditions for a point in a Musielak-Orlicz sequence space equipped with the Orlicz norm to be an -point. We give necessary and sufficient conditions for a Musielak-Orlicz sequence space equipped with the Orlicz norm to have the property, the uniform property and to be nearly uniformly convex. We show that a Musielak-Orlicz sequence space equipped with the Orlicz norm has the fixed point property if and only if it is reflexive. ...
On some convexities of Orlicz and Orlicz-Bochner spaces
S. Chen, Henryk Hudzik (1988)
Commentationes Mathematicae Universitatis Carolinae
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Strictly and uniformly monotone sequential Musielak-Orlicz spaces.
W. Kurc (1999)
Collectanea Mathematica
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Equivalence of the properties () and (NUC) in Orlicz spaces
Sompong Dhompongsa (2000)
Commentationes Mathematicae Universitatis Carolinae
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We obtain the equivalence of the properties and (NUC) in Orlicz function spaces. This answers a question raised by Y. Cui, R. Pluciennik and T. Wang.
Mazur-Orlicz equality
Fon-Che Liu (2008)
Studia Mathematica
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A remarkable theorem of Mazur and Orlicz which generalizes the Hahn-Banach theorem is here put in a convenient form through an equality which will be referred to as the Mazur-Orlicz equality. Applications of the Mazur-Orlicz equality to lower barycenters for means, separation principles, Lax-Milgram lemma in reflexive Banach spaces, and monotone variational inequalities are provided.