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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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Existence results of nonlocal Robin mixed Hahn and q-difference boundary value problems
Advances in Difference Equations, 2020 In this paper, we aim to study a nonlocal Robin boundary value problem for fractional sequential fractional Hahn-q-equation. The existence and uniqueness results for this problem are revealed by using the Banach fixed point theorem.
Thongchai Dumrongpokaphan +2 more
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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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Boundary Value Problems, 2018 In this paper, we study a nonlocal Robin boundary value problem for fractional Hahn integrodifference equation. Our problem contains three fractional Hahn difference operators and a fractional Hahn integral with different numbers of q,ω $q, \omega$ and ...
Nichaphat Patanarapeelert +1 more
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Boundary Value Problems, 2018 The aim of this work is to study a nonlocal Dirichlet boundary value problem for sequential Caputo fractional Hahn integrodifference equation. The problem contains two fractional Hahn difference operators and a fractional Hahn integral with different ...
Nichaphat Patanarapeelert +2 more
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Discrete Dynamics in Nature and Society, 2017 The existence and uniqueness results of two fractional Hahn difference boundary value problems are studied. The first problem is a Riemann-Liouville fractional Hahn difference boundary value problem for fractional Hahn integrodifference equations.
Nichaphat Patanarapeelert +1 more
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Advances in Difference Equations, 2017 In this paper, we study a boundary value problem for second-order nonlinear Hahn integro-difference equations with nonlocal integral boundary conditions. Our problem contains two Hahn difference operators and a Hahn integral. The existence and uniqueness
Umaphon Sriphanomwan +4 more
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A characterization of random approximations
International Journal of Mathematics and Mathematical Sciences, 1999 By using Hahn-Banach theorem, a characterization of random approximations is obtained.
Ismat Beg
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An Analogy of Hahn-Banach Separation Theorem [PDF]
, 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
Ram, M.
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Mathematics, 2022 As is well-known, unlike the one-dimensional case, there exist nonnegative polynomials in several real variables that are not sums of squares. First, we briefly review a method of approximating any real-valued nonnegative continuous compactly supported ...
Octav Olteanu
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