Results 1 to 10 of about 513,304 (193)
A generalization of Hahn–Banach extension theorem [PDF]
Journal of Mathematical Analysis and Applications, 2005 Let \(X\) and \(Y\) be real linear topological spaces with \(Y\) being partially ordered by a closed pointed convex cone \(K\), and let \(C\subset X\) be a convex set. A set-valued map \(F\colon\,C\to2^Y\) is said to be \(K\)-convex if, for every \(x,y\in C\) and \(\lambda\in(0,1)\), one has \(\lambda F(x)+(1-\lambda)F(y)\subset F\bigl(\lambda x+(1 ...
Heung Wing Joseph Lee, Xinmin Yang
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How Incomputable is the Separable Hahn-Banach Theorem? [PDF]
Electronic Notes in Theoretical Computer Science, 2008 We determine the computational complexity of the Hahn-Banach Extension Theorem. To do so, we investigate some basic connections between reverse mathematics and computable analysis. In particular, we use Weak Konig's Lemma within the framework of computable analysis to classify incomputable functions of low complexity.
Alberto Marcone
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The Hahn-Banach theorem: the life and times [PDF]
Topology and Its Applications, 1997 This paper mainly follows the historical development of the Hahn-Banach theorem from its earliest beginnings through its importance in the second half of this century. There are no proofs in this paper, but it mentions many connections between the Hahn-Banach theorem and other parts of mathematics as well as a good many of its variations. It also has a
Edward Beckenstein
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On Hahn-Banach theorem and some of its applications
Open Mathematics, 2022 First, this work provides an overview of some of the Hahn-Banach type theorems. Of note, some of these extension results for linear operators found recent applications to isotonicity of convex operators on a convex cone.
Olteanu Octav
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Dual Spaces and Hahn-Banach Theorem [PDF]
Formalized Mathematics, 2014 Summary In this article, we deal with dual spaces and the Hahn-Banach Theorem. At the first, we defined dual spaces of real linear spaces and proved related basic properties. Next, we defined dual spaces of real normed spaces. We formed the definitions based on dual spaces of real linear spaces.
Keiko Narita +2 more
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GENERALIZATIONS OF THE HAHN-BANACH THEOREM REVISITED
Taiwanese Journal of Mathematics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
N Dinh
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A local Hahn–Banach theorem and its applications [PDF]
Archiv Der Mathematik, 2019 An important consequence of the Hahn-Banach Theorem says that on any locally convex Hausdorff topological space $X$, there are sufficiently many continuous linear functionals to separate points of $X$. In the paper, we establish a `local' version of this theorem.
Foivos Xánthos +2 more
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From the Farkas Lemma to the Hahn--Banach Theorem
SIAM Journal on Optimization, 2014 This research was partially supported by MINECO of Spain, grant MTM2011-29064-C03-02, and by the NAFOSTED of Vietnam.
N Dinh, M A Goberna, M A Lopez
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Center and Quasi Center on Banach Normal Hyperalgebra [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 2021 In this paper, we prove that every strongly distributive hyperalgebra is normal. Also, we prove that if X is a normed normal hyperalgebra with a propertyza◦x.zb◦y = zab◦xy and |λ| > ‖x‖, then (zλ◦e − x) is invertible. Moreover, we give a characterization
ayman mizyed, As'ad Y. As'ad
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Mathematics, 2020 The aim of this review paper is to recall known solutions for two Markov moment problems, which can be formulated as Hahn–Banach extension theorems, in order to emphasize their relationship with the following problems: (1) pointing out a previously ...
Octav Olteanu
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