Results 61 to 70 of about 199 (164)
Failure of the trilinear operator space Grothendieck theorem
Discrete Analysis, 2019 Failure of the trilinear operator space Grothendieck theorem, Discrete Analysis 2019:8, 16 pp. Let $\beta:\ell_\infty^n\times \ell_\infty^n\to\mathbb C$ be a bilinear form.
Jop Briët, Carlos Palazuelos
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Hahn-Banach Theorems for Convex Functions [PDF]
, 1998 We start from a basic version of the Hahn-Banach theorem, of which we provide a proof based on Tychonoff's theorem on the product of compact intervals. Then, in the first section, we establish conditions ensuring the existence of affine functions lying between a convex function and a concave one in the setting of vector spaces -- this directly leads to
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Unique Hahn-Banach extensions and Korovkin’s theorem [PDF]
Proceedings of the American Mathematical Society, 1975 This paper characterizes in terms of weak topologies those bounded linear functionals on a subspace which have unique Hahn-Banach extensions to the whole linear normed space. The relationship to the Choquet boundary is discussed, and a Korovkin type theorem is obtained.
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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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Computability of the Hahn-Banach Theorem Revisited
CoRRComputational properties of the Hahn-Banach theorem have been studied in computable, constructive and reverse mathematics and in all these approaches the theorem is equivalent to weak Kőnig's lemma. Gherardi and Marcone proved that this is also true in the uniform sense of Weihrauch complexity.
Vasco Brattka, Christopher Sorg
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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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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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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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Bishop-Phelps Theorem for Normed Cones
پژوهشهای ریاضی, 2019 Introduction In the last few years there is a growing interest in the theory of quasi-metric spaces and other related structures such as quasi-normed cones and asymmetric normed linear spaces, because such a theory provides an important tool in the study
Ildar Sadeghi, Ali Hassanzadeh
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