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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Wiesław Kurc (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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Henryk Hudzik (1993)
Collectanea Mathematica
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Francisco L. Hernández (2004)
Banach Center Publications
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Hudzik, Henryk
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Foralewski, Paweł, Hudzik, Henryk, Kaczmarek, Radosław, Krbec, Miroslav (2010)
Fixed Point Theory and Applications [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.
CONWAY.J.H. (1969)
Inventiones mathematicae
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Wójtowicz, Marek (2003)
International Journal of Mathematics and Mathematical Sciences
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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.
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).
M. Auslander, K.W. Roggenkamp (1972)
Inventiones mathematicae
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Pawel Foralewski, Henryk Hudzik (1997)
Collectanea Mathematica
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