Errata to the paper "Banach-Saks property in some Banach sequence spaces" (Ann. Polon. Math. 65 (1997), 193-202)
Yunan Cui, Henryk Hudzik, Ryszard Płuciennik (1997)
Annales Polonici Mathematici
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Yunan Cui, Henryk Hudzik, Ryszard Płuciennik (1997)
Annales Polonici Mathematici
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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).
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.
S. Chen, Henryk Hudzik (1988)
Commentationes Mathematicae Universitatis Carolinae
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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.
Fatiha Boulahia, Mohamed Morsli (2010)
Commentationes Mathematicae Universitatis Carolinae
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We characterize the uniform non-squareness and the property of Besicovitch-Orlicz spaces of almost periodic functions equipped with Orlicz norm.
Henryk Hudzik (1989)
Revista Matemática de la Universidad Complutense de Madrid
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Henryk Hudzik (1993)
Collectanea Mathematica
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P. G. Dodds, E. M. Semenov, F. A. Sukochev (2004)
Studia Mathematica
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This paper studies the Banach-Saks property in rearrangement invariant spaces on the positive half-line. A principal result of the paper shows that a separable rearrangement invariant space E with the Fatou property has the Banach-Saks property if and only if E has the Banach-Saks property for disjointly supported sequences. We show further that for Orlicz and Lorentz spaces, the Banach-Saks property is equivalent to separability although the separable parts of some Marcinkiewicz spaces...
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).
Henryk Hudzik (1985)
Studia Mathematica
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