Contractive projections in Orlicz sequence spaces.
Randrianantoanina, Beata (2004)
Abstract and Applied Analysis
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Displaying similar documents to “A note on Schroeder-Bernstein Property and Primary Property of Orlicz function spaces”
Contractive projections in Orlicz sequence spaces.
On a class of universal Orlicz function spaces
César Ruiz (1990)
Acta Universitatis Carolinae. Mathematica et Physica
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Smooth points of the unit sphere in Musielak-Orlicz function spaces equipped with the Luxemburg norm
Zenon Zbąszyniak (1994)
Commentationes Mathematicae Universitatis Carolinae
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There is given a criterion for an arbitrary element from the unit sphere of Musielak-Orlicz function space equipped with the Luxemburg norm to be a point of smoothness. Next, as a corollary, a criterion of smoothness of these spaces is given.
Criteria for in Musielak-Orlicz spaces
Lianying Cao, Ting Fu Wang (2001)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, some necessary and sufficient conditions for in Musielak-Orlicz function spaces as well as in Musielak-Orlicz sequence spaces are given.
On property (β) of Rolewicz in Musielak-Orlicz sequence spaces equipped with the Orlicz norm
Paweł Kolwicz (2005)
Banach Center Publications
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We prove that the Musielak-Orlicz sequence space with the Orlicz norm has property (β) iff it is reflexive. It is a generalization and essential extension of the respective results from [3] and [5]. Moreover, taking an arbitrary Musielak-Orlicz function instead of an N-function we develop new methods and techniques of proof and we consider a wider class of spaces than in [3] and [5].
Jung constants of Orlicz sequence spaces
Tao Zhang (2003)
Annales Polonici Mathematici
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Estimation of the Jung constants of Orlicz sequence spaces equipped with either the Luxemburg norm or the Orlicz norm is given. The exact values of the Jung constants of a class of reflexive Orlicz sequence spaces are found by using new quantitative indices for 𝓝-functions.
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.