Results 211 to 220 of about 402 (231)

The Dual Space of an Asymmetric Normed Linear Space

Quaestiones Mathematicae, 2003
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.
L M Garcia-Raffi
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On The Spaces of Linear Operators Acting Between Asymmetric Cone Normed Spaces [PDF]

Mediterranean Journal of Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Merve Ilkhan, Pinar Zengin Alp, Emrah Evren Kara   +2 more
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Best approximation in asymmetric normed linear spaces

International Conference on Information Science and Technology, 2011
In this paper we show that the set of right K-Lipschitz mappings from an asymmetric normed linear space (X,p) to another asymmetric normed linear space (Y,q), which vanish at a fixed point x 0 ∈ X can be endowed with the structure of an asymmetric normed cone.
null Wen Li, null Du Zou, null Deyi Li, null Zhaoyuan Zhang   +3 more
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Quasi-support hyperplanes in asymmetric normed spaces

Computational and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jianrong Wu, Wu Jianrong
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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 ...
Elhadj Dahia
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Continuous operators on asymmetric normed spaces

Acta Mathematica Hungarica, 2008
For a real linear space, a function \(p:X\to \mathbb R^+\) is called an asymmetric norm on \(X\) if for all \(x,y\in X\) and \(r\in \mathbb R^+\), (i) \(p(x)=p(-x)=0\); (ii) \(p(rx)=rp(x)\); (iii) \(p(x+y)\leq p(x)+p(y)\). For an asymmetric norm \(p\) on \(X\), \(p^{-1}\), defined on \(X\) by \(p^{-1}(x)=p(-x)\) is also an asymmetric norm on \(X\); the
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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 S Lopushanski
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Separation axioms and covering dimension of asymmetric normed spaces

Quaestiones Mathematicae, 2020
It is well known that every asymmetric normed space is a T0 paratopological group. Since all Ti axioms (i = 0; 1; 2; 3) are pairwise non-equivalent in the class of paratopological groups, it is natural to ask if some of these axioms are equivalent in the
Natalia Jonard-Pérez
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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
openaire   +2 more sources