K-Convergence And The Orlicz-Pettis Theorem
Li Ronglu, Charles Swartz (1991)
Publications de l'Institut Mathématique
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Li Ronglu, Charles Swartz (1991)
Publications de l'Institut Mathématique
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Ch. Swartz (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
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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.
Hudzik, H. (1981)
Portugaliae mathematica
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Michał Kisielewicz (1975)
Annales Polonici Mathematici
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Lech Maligranda, Witold Wnuk (2004)
Banach Center Publications
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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].
César Ruiz (1990)
Acta Universitatis Carolinae. Mathematica et Physica
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