Results 271 to 280 of about 5,923 (300)

Selectors of the duality mapping

Mathematical Proceedings of the Royal Irish Academy, 2016
Summary: We introduce the concept of \(*\)-mapping as a selection of the duality mapping. We prove that the \(*\)-mappings are more general than the support mappings and provide a simple proof of the characterisation of smoothness by the norm to weak-star continuity of the \(*\)-mappings.
Garcia Pacheco FJ, Miralles A, PUGLISI, DANIELE   +2 more
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Norm-to-Weak Upper Semi-Continuity of the Duality and Pre-Duality Mappings

Set-Valued Analysis, 2002
For an element \(x\) in the unit sphere of a Banach space \(X\), the duality mapping is the (set-valued function) given by \(J_{X^\ast}(x)= \{ x^\ast \in X^\ast : 1= \| x^\ast \| = x^\ast (x) \}\). In the case of a dual space, the preduality mapping at an element \(x^\ast \in X^\ast \) is just \(J_{X^{\ast \ast}} \cap X\).
Godefroy, G., Indumathi, V.
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Linear Mappings and Duality

1979
Continuous linear mappings between locally convex spaces are the subject of § 32. The most important result is the homomorphism theorem in § 32, 4. For (B)- and (F)-spaces much more can be said. § 33 contains a detailed investigation of these cases culminating in the homomorphism theorems for (B)- resp. (F)-spaces in § 33, 4.
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Duality mappings for Galois cohomologies

Journal of Soviet Mathematics, 1982
In this paper, which partially has a survey character, one extends Tate's duality to p-extensions of number fields with a bounded ramification and one computes the module dualisant for the Galois groups of similar extensions.
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Conjugate Maps and Conjugate Duality

1985
This paper considers conjugate duality in multiobjective optimization, in which minimality (efficiency, noninferiority, or Pareto optimality) is a natural solution concept. First, conjugate maps and subgradients are defined for vector-valued functions and point-to-set maps.
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Twisted Harmonic Maps and the Self-Duality Equations

Proceedings of the London Mathematical Society, 1987
Let \({\mathbb{H}}^ 3:=\{H\in M_{2\times 2}({\mathbb{C}})|\) \(H^*=H\), det H\(=1\}\) be the hyperbolic 3-space with constant negative curvature and \({\mathcal H}:=\tilde X\times_{\rho}{\mathbb{H}}^ 3\). Using ideas of \textit{J. Eells} jun. and \textit{J. H. Sampson} [Am. J. Math.
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Induced Homotopy Equivalences on Mapping Spaces and Duality

Canadian Journal of Mathematics, 1970
In this paper we present three results involving function constructions, together with an example which shows the usefulness of our considerations. The first result, Theorem 1, states roughly that homotopy is self related through function space constructions.
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Duality Mapping for Schatten Matrix Norms

Numerical Functional Analysis and Optimization, 2021
Shayan Aziznejad, Michael Ünser
exaly  

Remark on ''Accretivity and duality map in Banach space''

TRU Mathematics, 1984
The proof of Lemma 1 in [Proc. Jap. Acad., Ser. A 60, 201-204 (1984; review above)] is incorrect. The aim of this note is to give a complete proof.
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Circuits/cutsets duality and theoretical foundation of a structural approach to survivable logical topology mapping in IP-over-WDM optical networks

Optical Switching and Networking, 2022
Tachun Lin, Guoliang Xue
exaly