Results 91 to 100 of about 7,970 (116)

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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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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Hahn-Banach extension theorems over the space of fuzzy elements

Fuzzy Optimization and Decision Making, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Strong uniqueness of the extension of linear continuous functionals according to the Hahn-Banach theorem

Mathematical Notes of the Academy of Sciences of the USSR, 1988
For a review see the Zbl 0655.46006.
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A Hahn-Banach Extension Theorem for Some Holomorphic Functions

1986
Publisher Summary This chapter discusses a Hahn-Banach extension theorem for some holomorphic functions. It considers the following problem: “Given locally convex spaces E and F and a closed subspace G of E, under which conditions a holomorphic function f : G → F can be extended to a holomorphic function f : E → F?”.
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The Hahn-Banach Extension Theorem for Some Spaces of n-Homogeneous Polynomials

1984
Publisher Summary This chapter describes some special classes of n-homogeneous polynomials on E and will extend few elements of these classes to n-homogeneous polynomials on EH • Moreover, the chapter characterizes the space of the extended polynomials on EH, and shows that the extension mapping is linear, continuous and, in some sense, unique.
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Free \(C^*\)-algebras and the problem of uniqueness of extension in non-commutative Hahn-Banach theorem

zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Lunchuan, Ma, Jipu
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Hahn-Banach’s Extension Theorem

2019
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A hahn-banach theorem in ordered linear spaces and its applications

Optimization, 1992
Xiaoqi Yang
exaly