Mazur-Orlicz equality

Fon-Che Liu

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Displaying similar documents to “Mazur-Orlicz equality”

Musielak-Orlicz algebras

Hudzik, Henryk

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Rademacher series from Orlicz to the present day

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.

On Simons' version of Hahn-Banach-Lagrange theorem

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).

Best Constants for the Inequalities between Equivalent Norms in Orlicz Spaces

Ha Huy Bang, Nguyen Van Hoang, Vu Nhat Huy (2011)

Bulletin of the Polish Academy of Sciences. Mathematics

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We investigate best constants for inequalities between the Orlicz norm and Luxemburg norm in Orlicz spaces.

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.

Weak compactness and Orlicz 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).

Contractive projections in Orlicz sequence spaces.

Randrianantoanina, Beata (2004)

Abstract and Applied Analysis

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Intersections and algebraic sums of Musielak-Orlicz spaces

Hudzik, H. (1981)

Portugaliae mathematica

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The Orlicz type theorem for differential-integral equations with a lagging argument

Michał Kisielewicz (1975)

Annales Polonici Mathematici

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On the KR and WKR points of Orlicz.

Yunan Cui, Yunfeng Zhang (1997)

Collectanea Mathematica

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In this paper, we obtain criteria for KR and WKR points in Orlicz function spaces equipped with the Luxemburg norm.

On some convexities of Orlicz and Orlicz-Bochner spaces

S. Chen, Henryk Hudzik (1988)

Commentationes Mathematicae Universitatis Carolinae

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On some convexity properties of Orlicz spaces of vector valued functions.

Henryk Hudzik (1989)

Revista Matemática de la Universidad Complutense de Madrid

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On W*UR point and UR point of Orlicz spaces with Orlicz norm.

Ting Fu Wang, Zhong Rui Shi, Quan Di Wang (1993)

Collectanea Mathematica

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For Orlicz spaces with Orlicz norm, a criterion of W*UR point is given, and previous results about UR points and WUR points are amended.

Władysław Orlicz (1903-1990). A biography

Lech Maligranda, Witold Wnuk (2004)

Banach Center Publications

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Roughness of two norms on Musielak-Orlicz function spaces

Jimin Zheng, Lihuan Sun, Yun'an Cui (2008)

Banach Center Publications

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In this paper, the criteria of strong roughness, roughness and pointwise roughness of Orlicz norm and Luxemburg norm on Musielak-Orlicz function spaces are obtained.