Asymmetric normed space - Open Access .click

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. García-Raffi, Romaguera Sanchez-Pérez +1 more
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Quasi-support hyperplanes in asymmetric normed spaces

Computational and Applied Mathematics
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Jianrong Wu
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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.
Zhaoyuan Zhang
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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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asymmetric norm
asymmetric normed linear space
fos: mathematics

mathematics
best approximation
functional analysis math.fa

qa1-939
mathematics - functional analysis
compactness