On bases, compactness and weak convergence in the Banach space $A_p$
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...
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Sufficient conditions are given under which a sequence of independent random elements taking values in a Banach space satisfy the Hsu and Robbins law of large numbers. The complete convergence of random indexed sums of random elements is also considered.
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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چکیده ندارد.
Strong and weak convergence of an implicit iterative process for pseudocontractive semigroups in Banach space
* Correspondence: [email protected] Department of Mathematics, Yibin University, Yibin, Sichuan 644000, China Full list of author information is available at the end of the article Abstract The purpose of this article is to study the strong and weak convergence of implicit iterative sequence to a common fixed point for pseudocontractive semigroups in Banach spaces. The results presented in thi...
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 1971
ISSN: 0010-1354,1730-6302
DOI: 10.4064/cm-22-2-263-270