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A Generalization of the Hahn-Banach Theorem [PDF]
Nagoya Mathematical Journal, 1953 Recently the Hahn-Banach theorem for normed spaces over non-archimedean valued fields was treated by A. F. Monna [1], L S. Cohen [2], A. W. Ingleton [3], and the writer [4]. In [3] and [4] very essential use was made of an idea of L. Nachbin [5]
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A THEOREM OF THE HAHN-BANACH TYPE
Demonstratio Mathematica, 1995 Summary: Let \(Y\) be a linear subspace of a linear space \(X\) over the rationals \(\mathbb{Q}\) and let \(C\subseteq X\) be \(\mathbb{Q}\)-convex. Moreover, let \(\mathcal F\) be a family of subsets of a linear space \(E\) over \(\mathbb{Q}\) having the binary intersection property.
Smajdor, Wilhelmina +1 more
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Approximate controllability of Euler-Bernoulli viscoelastic systems
Electronic Journal of Differential Equations, 2019 In this article, we study an Euler-Bernoulli viscoelastic control system which is dissipative due to the presence of the viscoelastic term. The main feature which distinguishes this paper from other related works lies in the fact that we no longer ...
Zhifeng Yang, Zhaosheng Feng
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On generic convergence of successive approximations of mappings with convex and compact point images. [PDF]
Mon Hefte Math, 2023 Bargetz C, Medjic E, Pirk K.
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How Incomputable is the Separable Hahn-Banach Theorem?
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.
Guido Gherardi, Alberto Marcone
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Extension of bounded linear functionals and best approximation in spaces with asymmetric norm
Journal of Numerical Analysis and Approximation Theory, 2004 The present paper is concerned with the characterization of the elements of best approximation in a subspace \(Y\) of a space with asymmetric norm, in terms of some linear functionals vanishing on \(Y\).
Ş. Cobzaş, C. Mustăţa
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The Hahn-Banach theorem implies Sine’s mean ergodic theorem [PDF]
Proceedings of the American Mathematical Society, 1979 Using the Hahn-Banach theorem, a simple proof of Sine’s mean ergodic theorem is given.
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Ultradifferentiable classes of entire functions. [PDF]
Adv Oper Theory, 2023 Nenning DN, Schindl G.
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Best approximation in spaces with asymmetric norm
Journal of Numerical Analysis and Approximation Theory, 2006 In this paper we shall present some results on spaces with asymmetric seminorms, with emphasis on best approximation problems in such spaces.
Ştefan Cobzaş, Costică Mustăţa
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Lipschitz Carnot-Carathéodory Structures and their Limits. [PDF]
J Dyn Control Syst, 2023 Antonelli G +2 more
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