Results 201 to 210 of about 4,215,345 (221)

Weakly convex sets in asymmetric normed spaces

2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA), 2017
In this work we present different results for weakly convex sets is spaces with asymmetric seminorm. We present the theorem for the well-posedness of the closest points problem and the Separation Theorem for weakly and strongly convex sets w.r.t. a quasiball.
Mariana Lopushanski
exaly   +2 more sources

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 isomorphism.We also introduce and characterize the so-called weak* topology which is generated in a ...
Garcia-Raffi, L.M., Romaguera, S., Sanchez-Perez, E.A.   +2 more
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The bicompletion of an asymmetric normed linear space

Acta Mathematica Hungarica, 2002
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García-Raffi, L. M., Romaguera, S., Sánchez-Pérez, E. A.   +2 more
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Multilinear operators between asymmetric normed spaces

Colloquium Mathematicum, 2020
The authors prove some fundamental results for multilinear operators between asymmetric normed spaces (see [\textit{S. Cobzaş}, Functional analysis in asymmetric normed spaces. Basel: Birkhäuser (2013; Zbl 1266.46001)]). Among other results, they give criteria for the continuity of multilinear operators, Banach-Steinhaus type theorems, and a closed ...
Latreche, Faiz, Dahia, Elhadj
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On The Spaces of Linear Operators Acting Between Asymmetric Cone Normed Spaces

Mediterranean Journal of Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
İlkhan, Merve, Zengin Alp, Pınar, Kara, Emrah Evren   +2 more
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Extensions of asymmetric norms to linear spaces

2011
Summary: Let \(M\) be a subset of a (real) linear space that is closed with respect to the sum of vectors and the product by nonnegative scalars. An asymmetric seminorm on \(M\) is a nonnegative and subadditive positively homogeneous function \(q\) defined on \(M\).
Garcìa-Raffi, L.M., Romaguera, S., Sánchez Pérez, E.A.   +2 more
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The Banach--Mazur Theorem for Spaces with Asymmetric Norm

Mathematical Notes, 2001
We establish an analog of the Banach—Mazur theorem for real separable linear spaces with asymmetric norm: every such space can be linearly and isometrically embedded in the space of continuous functions f on the interval [0,1] equipped with the asymmetric norm $$||f|$$
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Separation of Convex Sets and Best Approximation in Spaces with Asymmetric Norm

Quaestiones Mathematicae, 2004
No Abstract. Quaestiones Mathematicae Vol.
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Chebyshev sets composed of subspaces in asymmetric normed spaces

Izvestiya: Mathematics
By definition, a Chebyshev set is a set of existence and uniqueness, that is, any point has a unique best approximant from this set. We study properties of Chebyshev sets composed of finitely or infinitely many planes (closed affine subspaces, possibly degenerated to points).
Alimov, Alexey R., Tsar'kov, Igor' G.
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Characterizations of metrizable topological vector spaces and their asymmetric generalizations in terms of fuzzy (quasi-)norms

Fuzzy Sets and Systems, 2010
The main results of this paper are characterizations of those paratopological vector spaces that are quasi-metrizable, locally bounded, quasi-metrizable and locally convex, and quasi-normable, respectively, as follows: Let (\(X,\tau\)) be a paratopological vector space.
Carmen Alegre, Salvador Romaguera
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