Results 21 to 30 of about 513,254 (163)
On the extension of linear operators
International Journal of Mathematics and Mathematical Sciences, 2001 It is well known that the Hahn-Banach theorem, that is, the extension theorem for bounded linear functionals, is not true in general for bounded linear operators. A characterization of spaces for which it is true was published by Kakutani in 1940.
John J. Saccoman
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The Hahn-Banach theorem implies Sine’s mean ergodic theorem
, 1979 Using the Hahn-Banach theorem, a simple proof of Sine’s mean ergodic theorem is given.
Ryōtarō Satō
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How incomputable is the separable Hahn-Banach theorem? [PDF]
, 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.
Alberto Marcone +6 more
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A sandwich type Hahn-Banach theorem for convex and concave functionals [PDF]
, 2021 We give a sandwich type Hahn-Banach theorem for convex and concave ...
Xu, Jingshi
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O Teorema de Hahn-Banach e Aplicações [PDF]
, 2023 The work presents versions of the analytical form of the Hahn-Banach Theorem and some of its applications in functional analysis, addressing fundamental concepts of linear algebra and functional analysis.
Teixeira, Lucas Mendes
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The minimax theorem as Hahn-Banach theorem consequence [PDF]
, 2015 The separation concept is essential in convex programming. In particular, the convex sets separation. In this work the Hahn-Banach theorem is presented, with great generality, together with an important separation theorem, its consequence.
Ferreira, M. A. M.
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A generalization of Hahn–Banach extension theorem [PDF]
, 2005 In this paper, the notion of affinelike set-valued maps is introduced and some properties of these maps are presented. Then a new Hahn–Banach extension theorem with a K-convex set-valued map dominated by an affinelike set-valued map is ...
Peng, J +7 more
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ℂ-convexity in infinite-dimensional Banach spaces and applications to Kergin interpolation
International Journal of Mathematics and Mathematical Sciences, 2006 We investigate the concepts of linear convexity and ℂ-convexity in complex Banach spaces. The main result is that any ℂ-convex domain is necessarily linearly convex.
Lars Filipsson
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The Hahn-Banach theorem for A-linear operators
, 2017 In this short paper we present a generalization of the Hahn-Banach extension theorem for A-linear operators.
Turan, B. +5 more
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On Four Classical Measure Theorems
Mathematics, 2021 A subset B of an algebra A of subsets of a set Ω has property (N) if each B-pointwise bounded sequence of the Banach space ba(A) is bounded in ba(A), where ba(A) is the Banach space of real or complex bounded finitely additive measures defined on A ...
Salvador López-Alfonso +2 more
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