Results 71 to 80 of about 112 (106)

The Hahn-Banach Extension Theorem in Normed Linear Spaces over Topological Semifield

The Hahn-Banach Extension Theorem in Normed Linear Spaces over Topological Semifield
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Hahn–Banach extension theorems for multifunctions revisited

Mathematical Methods of Operations Research, 2007
Several generalizations of the Hahn-Banach extension theorem to \(K\)-convex multifunctions were stated recently. The author provides an easy direct proof for the multifunction version of the Hahn-Banach-Kantorovich theorem and shows that in a quite general situation it can be obtained from existing results.
Constantin Zălinescu
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Hahn-Banach extension theorems

2002
The Hahn-Banach problem for convergence vector spaces has its roots in classical functional analysis. Let E be a strict topological 𝓛F-space, M a vector subspace of E with the property that M ∩E n is closed in each E n - such a subspace is called stepwise closed. Further, let φ bea sequentially continuous linear functional on M.
R. Beattie, H.-P. Butzmann
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From the Hahn–Banach extension theorem to the isotonicity of convex functions and the majorization theory

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020
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Constantin P. Niculescu, Octav Olteanu
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U-algebras and the Hahn–Banach extension theorem

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1987
SynopsisAn Archimedean unital f-algebra A is called a U-algebra if, for every a∊A, there exists an invertible element u∊A such that a = u |a|. Characterisations of a U-algebra are established. As an application, an extension theorem of Hahn–Banach type on modules over a U-algebra and over the complexification of a Dedekind complete unital f-algebra is ...
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The Existence of Non-Trivial Bounded Functionals Implies the Hahn-Banach Extension Theorem

Zeitschrift für Analysis und ihre Anwendungen, 2001
We show that it is impossible to prove the existence of a linear (bounded or unbounded) functional on any L_\infty/C_0 without an uncountable form of the axiom of choice. Moreover, we show that if on each Banach space there exists at least one non-trivial bounded linear functional, then
Luxemburg, W. A. J., Väth, Martin
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Hahn-Banach extension theorems over the space of fuzzy elements

Fuzzy Optimization and Decision Making, 2010
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An n-Dimensional Hahn-Banach Extension Theorem and Minimal Projections

Journal of Computational Analysis and Applications, 2003
Let \(Z\) be a Banach space and let \(\mathbb F\) be the underlying real or complex field. If \(z\in Z\) and \(z^\ast\in Z^\ast\) are such that \(\langle z,z^\ast\rangle=\| z\| \,\| z^\ast\| \not=0\), then \(z^\ast\) is said to be an extremal for \(z\) and one writes \(z^\ast=\text{ext}(z)\).
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Dense single extensions points in Hahn-Banach theorem

LIBERTAS MATHEMATICA (new series), 2012
Let $X$ be a real separable Banach space. It is shown that the set of points $x\in X\backslash\left\{  0\right\}  $ for which there exists more than one linear and continuous functional $x^{\ast}\in X^{\ast}$ that satisfies $\left\langle x^{\ast},x\right\rangle =\left\Vert x\right\Vert $ and $\left\Vert x^{\ast}\right\Vert =1$\ has no interior.
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A FUZZY VERSION OF HAHN-BANACH EXTENSION THEOREM

2013
In this paper, a fuzzy version of the analytic form of Hahn-Banachextension theorem is given. As application, the Hahn-Banach theorem for$r$-fuzzy bounded linear functionals on $r$-fuzzy normedlinear spaces is obtained.
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