Results 191 to 200 of about 1,250 (216)

The bicompletion of an asymmetric normed linear space

Acta Mathematica Hungarica, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
García-Raffi, L. M., Romaguera, S., Sánchez-Pérez, E. A.   +2 more
openaire   +2 more sources

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
openaire   +2 more sources

Quasi-support hyperplanes in asymmetric normed spaces

Computational and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jianrong Wu, Hua Duan, Zhenyu Jin
openaire   +1 more source

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
openaire   +1 more source

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.
openaire   +1 more source

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

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 $$||f|$$
openaire   +1 more source

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
openaire   +1 more source

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.
openaire   +2 more sources

Multidimensional inequalities between distinct metrics in spaces with an asymmetric norm

Sbornik: Mathematics, 1998
For \(T^d\) the \(d\)-dimensional torus, \(L_{p,q}(T^d)\) is the space of functions \(f\) on \(T^d\) with \(f^+\in L_p(T^d)\), \(f^-\in L_q(T^d)\) and the norm \(\| f\|_{p,q}=\| f^+\|_p +\| f^-\|_q\). The trigonometric polynomial \(T_n\) of degree \(n_j\) in \(x_j\) satisfies the Jackson-Nikolskij type inequality \[ \| T_n\|_{q_1,q_2}\leq C_ ...
openaire   +2 more sources