Results 11 to 20 of about 513,304 (193)
The Hahn--Banach theorem for $A$-linear operators
TURKISH JOURNAL OF MATHEMATICS, 2017 Summary: In this short paper we present a generalization of the Hahn-Banach extension theorem for \(A\)-linear operators. Some theoretical applications and results are given.
Bilici, Fatma, TURAN, BAHRİ
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The Hahn-Banach Extension Theorem for Fuzzy Normed Spaces Revisited [PDF]
Abstract and Applied Analysis, 2014 This paper deals with fuzzy normed spaces in the sense of Cheng and Mordeson. We characterize fuzzy norms in terms of ascending and separating families of seminorms and prove an extension theorem for continuous linear functionals on a fuzzy normed space.
Carmen Alegre, Salvador Romaguera
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Hahn-Banach Theorem in Vector Spaces
Journal of Mathematical Extension, 2010 . In this paper we introduce a new extension to Hahn-Banach Theorem and consider its relation with the linear operatres.
M. R. Haddad, H. Mazaheri
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Note on the Hahn-Banach Theorem in a Partially Ordered Vector Space [PDF]
Journal of Applied Mathematics, 2013 Using a fixed point theorem in a partially ordered set, we give a new proof of the Hahn-Banach theorem in the case where the range space is a partially ordered vector space.
Toshiharu Kawasaki +2 more
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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.
Lynn C. Kurtz
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Convex programming based on Hahn Banach theorem [PDF]
, 2022 The main objective of this chapter is to present the separation theorems, important consequences of Hahn-Theorem theorem. Therefore, we begin with an overview on convex sets and convex functionals.
Ferreira, M. A. M.
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Electronic Journal of Qualitative Theory of Differential Equations, 2023 In this note we prove the existence of mild solutions for nonlocal problems governed by semilinear second order differential inclusions which involves a nonlinear term driven by an operator.
Tiziana Cardinali, Giulia Duricchi
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AN ANALOGY OF HAHN–BANACH SEPARATION THEOREM FOR NEARLY TOPOLOGICAL LINEAR SPACES
Ural Mathematical Journal, 2021 In this paper, we introduce the notion of nearly topological linear spaces and use it to formulate an alternative definition of the Hahn–Banach separation theorem. We also give an example of a topological linear space to which the result is not valid. It
Madhu Ram
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McShane-Whitney extensions in constructive analysis [PDF]
Logical Methods in Computer Science, 2020 Within Bishop-style constructive mathematics we study the classical McShane-Whitney theorem on the extendability of real-valued Lipschitz functions defined on a subset of a metric space.
Iosif Petrakis
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Convexity, Markov Operators, Approximation, and Related Optimization
Mathematics, 2022 The present review paper provides recent results on convexity and its applications to the constrained extension of linear operators, motivated by the existence of subgradients of continuous convex operators, the Markov moment problem and related Markov ...
Octav Olteanu
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