Results 11 to 20 of about 191 (93)
Hahn-Banach type extension results for linear operators on asymmetric normed spaces
We present some results related to Hahn-Banach extension theorem for linear operators on asymmetric normed spaces. L. Nachbin, Trans. Amer. Math. Soc. 68 (1950), proved that a Banach space has the extension property for linear operators (a property also called injectivity) if and only if it has the Binary Intersection Property (BIP), meaning that every
Cobzaş, S.
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Asymmetric free spaces and canonical asymmetrizations [PDF]
, 2021 A construction analogous to that of Godefroy-Kalton for metric spaces allows one to embed isometrically, in a canonical way, every quasi-metric space (X, d) in an asymmetric normed space F-a (X, d) (its quasi-metric free space, also called asymmetric ...
Daniilidis, Aris +2 more
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On generalizations of fuzzy metric spaces [PDF]
, 2023 summary:The aim of the paper is to present three-variable generalizations of fuzzy metric spaces in sense of George and Veeramani from functional and topological points of view, respectively.
Shi, Yi, Yao, Wei
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, 2022 [EN] Chistyakov introduced and developed a concept of modular metric for an arbitrary set in order to generalise the classical notion of modular on a linear space.
Olela Otafudu, Olivier +1 more
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The uniform boundedness theorem in asymmetric normed spaces [PDF]
, 2012 We obtain a uniform boundedness type theorem in the frame of asymmetric normed spaces. The classical result for normed spaces follows as a particular case.The authors are very grateful to the referee for many observations and comments that have allowed ...
Romaguera Bonilla, Salvador +5 more
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Análisis funcional en estructuras asimétricas
, 2023 Tesis inédita de la Universidad Complutense de Madrid, Facultad de Ciencias Matemáticas, leída el 21-07-2023Esta tesis, titulada “Análisis funcional en estructuras asimétricas”, consiste en el estudio de distintos tipos de estructuras de naturaleza ...
Venegas Martínez, Francisco Javier Antonio
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Computing Optimal Distances to Pareto Sets of Multi-Objective Optimization Problems in Asymmetric Normed Lattices [PDF]
, 2019 [EN] Given a finite dimensional asymmetric normed lattice, we provide explicit formulae for the optimization of the associated (non-Hausdorff) asymmetric distance among a subset and a point.
Blasco, Xavier +3 more
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Q-functions on quasimetric spaces and fixed points for multivalued maps [PDF]
, 2011 [EN] We discuss several properties of Q-functions in the sense of Al-Homidan et al.. In particular, we prove that the partial metric induced by any T0 weighted quasipseudometric space is a Q-function and show that both the Sorgenfrey line and the ...
Romaguera Bonilla, Salvador +6 more
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Compactness in asymmetrically normed lattices.
, 2012 Includes abstract.Includes bibliographical references.The aim of the thesis is to investigate aspects of the theory of such spaces, concentrating mainly, but not exclusively, on nite dimensional spaces.
Mabula, Mokhwetha Daniel
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The Dual space of an asymmetric normed linear space
, 2004 Given an asymmetric normed linear space (X, q), we construct and study its dual space (X*, q*). In particular, we show that (x*, q*) is a biBanach semilinear space and prove that (X, q) can be identified as a subspace of its bidual by an isometric ...
Sanchez-Perez, E.A. +2 more
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