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On the duality mapping sets in abstract M-spaces

open access: yesIndagationes Mathematicae, 2002
The authors characterize various properties associated with support functionals in abstract \(M\) spaces. For a normed space \(X\), the duality mapping set \(J(x)\) associated with an element \(x\in X\) is defined as the set of functionals \(f^*\) in the dual space such that \((f^*(x))=\| x\| ^2=\| f^*\| ^2\) .
Henryk Hudzik
exaly   +4 more sources

On upper semicontinuity of duality mappings [PDF]

open access: yesProceedings of the American Mathematical Society, 1994
We give new sufficient conditions for a Banach space to be an Asplund (or reflexive) space in terms of certain upper semicontinuity of the duality mapping.
Contreras, Manuel D., Payá, Rafael
openaire   +2 more sources

Toy models of holographic duality between local Hamiltonians [PDF]

open access: yesJournal of High Energy Physics, 2019
Holographic quantum error correcting codes (HQECC) have been proposed as toy models for the AdS/CFT correspondence, and exhibit many of the features of the duality. HQECC give a mapping of states and observables.
Tamara Kohler, Toby Cubitt
doaj   +2 more sources

An optimal grid scheduling method considering coupling degree of nodes and duality of reciprocal inverse mapping

open access: yesResults in Engineering
The optimal scheduling method of the power grid considering the node coupling degree and the duality of mutual inverse mapping is studied to effectively establish the random dynamic scene of the power grid and improve its optimal scheduling effect ...
Yunhui Wang   +4 more
doaj   +3 more sources

Science, Dualities and the Phenomenological Map

open access: yesFoundations of Science, 2022
AbstractWe present an epistemological schema of natural sciences inspired by Peirce’s pragmaticist view, stressing the role of the phenomenological map, that connects reality and our ideas about it. The schema has a recognisable mathematical/logical structure which allows to explore some of its consequences.
Hernán G. Solari, Mario A. Natiello
openaire   +3 more sources

Maps admitting trialities but not dualities [PDF]

open access: yesEuropean Journal of Combinatorics, 2010
19 pages, 1 ...
Jones, Gareth, Poulton, Andrew
openaire   +4 more sources

On the Generalization of a Multiplicity Result

open access: yesMathematics, 2022
In this work, we shifted a recent multiplicity result by B. Ricceri from a Hilbert space to a Banach space setting by making use of a duality mapping relative to some increasing function.
Marek Galewski
doaj   +1 more source

Electromagnetic dual Einstein-Maxwell-scalar models

open access: yesJournal of High Energy Physics, 2020
Electromagnetic duality is discussed in the context of Einstein-Maxwell-scalar (EMS) models including axionic-type couplings. This family of models introduces two non-minimal coupling functions f(ϕ) and g(ϕ), depending on a real scalar field ϕ ...
Carlos A. R. Herdeiro   +1 more
doaj   +1 more source

Gysin maps, duality, and Schubert classes [PDF]

open access: yesFundamenta Mathematicae, 2019
Version 3: published ...
Darondeau, Lionel, Pragacz, Piotr
openaire   +3 more sources

Duality map characterisations for Opial conditions [PDF]

open access: yesBulletin of the Australian Mathematical Society, 1996
We characterise Opial's condition, the non-strict Opial condition, and the uniform Opial condition for a Banach space X in terms of properties of the duality mapping from X into X*.
Dalby, Tim, Sims, Brailey
openaire   +1 more source

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