The Weak Banach-Saks Property in C*-Algebras
نویسندگان
چکیده
منابع مشابه
Weak 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...
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...
متن کاملThe 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.
متن کامل. FA ] 1 9 Fe b 20 07 THE WEAK BANACH - SAKS PROPERTY OF THE SPACE
In this paper we show the weak Banach-Saks property of the Banach vector space (L p µ) m generated by m L p µ-spaces for 1 ≤ p < +∞, where m is any given natural number. When m = 1, this is the famous Banach-Saks-Szlenk theorem. By use of this property, we also present inequalities for integrals of functions that are the composition of nonnegative continuous convex functions on a convex set of ...
متن کاملThe Banach-Saks property and Haar null sets
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.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1994
ISSN: 0022-1236
DOI: 10.1006/jfan.1994.1043