Visualization of the spaces W (u, v; ℓ p ) and their duals

Visualization of the spaces W (u, v; ℓ p ) and their duals

We consider the weighted means spaces W (u, v; ℓp ) and their α–, β– and γ–duals. The duality of the spaces is visualized in three dimensional real space by representing the norm as a potential surface and the dual norm as the corresponding Wulff’s crystal.

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Hauptverfasser: Veličković, Vesna, Malkowsky, Eberhard, Özger, Faruk
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creator Veličković, Vesna
Malkowsky, Eberhard
Özger, Faruk
description We consider the weighted means spaces W (u, v; ℓp ) and their α–, β– and γ–duals. The duality of the spaces is visualized in three dimensional real space by representing the norm as a potential surface and the dual norm as the corresponding Wulff’s crystal.
doi_str_mv 10.1063/1.4959634
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title Visualization of the spaces W (u, v; ℓ p ) and their duals
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