منابع مشابه
The Banach-saks Property of the Banach Product Spaces
In this paper we first take a detail survey of the study of the Banach-Saks property of Banach spaces and then show the Banach-Saks property of the product spaces generated by a finite number of Banach spaces having the Banach-Saks property. A more general inequality for integrals of a class of composite functions is also given by using this property.
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A characterization of Haar null sets in the sense of Christensen is given. Using it, we show that if the dual of a Banach space X has the Banach-Saks property, then closed and convex subsets of X with empty interior are Haar null.
متن کاملWeak Banach-Saks property in the space of compact operators
For suitable Banach spaces $X$ and $Y$ with Schauder decompositions and a suitable closed subspace $mathcal{M}$ of some compact operator space from $X$ to $Y$, it is shown that the strong Banach-Saks-ness of all evaluation operators on ${mathcal M}$ is a sufficient condition for the weak Banach-Saks property of ${mathcal M}$, where for each $xin X$ and $y^*in Y^*$, the evaluation op...
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Résumé. La nécessité de trouver des solutions à même de garantir le droit à la propriété augmente au fur et à mesure que le commerce électronique prend de l’essor. En effet, les internautes ont tendance à penser que du moment qu’ils ont payé pour s’octroyer un article, ils sont autorisés à s’en servir librement, et en général cet usage est effectué sans tenir compte du respect des droits des cr...
متن کاملFe b 20 09 MODULE WEAK BANACH - SAKS AND MODULE SCHUR PROPERTIES OF HILBERT C ∗ - MODULES
Continuing the research on the Banach-Saks and Schur properties started in (cf. [10]) we investigate analogous properties in the module context. As an environment serves the class of Hilbert C∗-modules. Some properties of weak module topologies on Hilbert C∗-modules are described. Natural module analogues of the classical weak Banach-Saks and the classical Schur properties are defined and studi...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1980
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-66-3-227-235