Certain properties of generalized Orlicz spaces.
Jain, Pankaj, Upreti, Priti (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Jain, Pankaj, Upreti, Priti (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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N. J. Kalton (2004)
Banach Center Publications
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We survey some questions on Rademacher series in both Banach and quasi-Banach spaces which have been the subject of extensive research from the time of Orlicz to the present day.
Jerzy Grzybowski, Hubert Przybycień, Ryszard Urbański (2014)
Banach Center Publications
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In this paper we generalize in Theorem 12 some version of Hahn-Banach Theorem which was obtained by Simons. We also present short proofs of Mazur and Mazur-Orlicz Theorem (Theorems 2 and 3).
Hudzik, Henryk
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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.
Zlatanov, B. (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Lech Maligranda (1981)
Studia Mathematica
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S. Chen, Henryk Hudzik (1988)
Commentationes Mathematicae Universitatis Carolinae
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Tetsuya Shimogaki (1968)
Studia Mathematica
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Pascal Lefèvre, Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza (2008)
Colloquium Mathematicae
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We give new proofs that some Banach spaces have Pełczyński's property (V).
Formica, Maria Rosaria (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Henryk Hudzik (1989)
Revista Matemática de la Universidad Complutense de Madrid
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Yunan Cui, Henryk Hudzik, Ryszard Płuciennik (1997)
Annales Polonici Mathematici
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It is proved that for any Banach space X property (β) defined by Rolewicz in [22] implies that both X and X* have the Banach-Saks property. Moreover, in Musielak-Orlicz sequence spaces, criteria for the Banach-Saks property, the near uniform convexity, the uniform Kadec-Klee property and property (H) are given.