Results 261 to 270 of about 5,923 (300)

Duality with expanding maps and shrinking maps, and its applications to Gauss maps

open access: yesDuality with expanding maps and shrinking maps, and its applications to Gauss maps
openaire  

A characterization of the star duality mapping

Advances in Applied Mathematics, 2023
The authors prove some analog of the characterization of the duality mapping for compact convex sers in finite dimensions as resented in [\textit{K. Böröczky jun.} and \textit{R. Schneider}, Geom. Funct. Anal. 18, No. 3, 657--667 (2008; Zbl 1168.52002)].

exaly   +3 more sources

Normalized Duality Mapping

Compact Textbooks in Mathematics, 2021
Recall that E is a real, separable, and reflexive Banach space. In this section we consider classical duality mapping together with its relation to the Riesz operator—in case we assume that we work in a Hilbert space.
Marek Galewski, Galewski Marek
exaly   +2 more sources

Subdifferentiability and Duality Mappings

1990
Our aim in this Chapter is to introduce the notion of duality mapping on a Banach space X; to this purpose we survey basic results of convex analysis and connect them with the differentiability properties of the norm on X.
exaly   +2 more sources

On the Duality Mapping Sets in Orlicz Sequence Spaces

Acta Mathematica Sinica, English Series, 2001
Summary: Criteria for the weak compactness of the duality mapping sets \(J(x)=\{f\in X^*:\langle f,x\rangle=\| f\|^2=\| x\|^2\}\) in Orlicz sequence spaces endowed either with the Luxemburg or with the Orlicz norm are obtained.
exaly   +4 more sources

Generating topological order from a two-dimensional cluster state using a duality mapping

open access: yesNew Journal of Physics, 2011
In this paper, we prove, extend and review possible mappings between the two-dimensional (2D) cluster state, Wen's model, the 2D Ising chain and Kitaev's toric code model.
Benjamin J Brown   +2 more
exaly   +3 more sources

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