Extension of bilinear functionals and best approximation in 2-normed space
Abstract The paper investigates the relations between the extension properties of bounded bilinear functionals and the approximation properties in 2-normed…
best approximation
Extension of Lipschitz functions and best approximation
Abstract The aim of this paper is to present various extension results for Lipschitz functions and to put in evidence…
Some remarks concerning norm preserving extension and best approximation
Abstract Let \(X,Y\) be two normed spaces, \(X_{1}\) a subspace of \(X\) and \(A:X \rightarrow Y\) a continuous linear operator.…
A Phelps type result for spaces with asymmetric norms
Abstract If \((X,||\cdot|)\) is a linear space with asymmetric norm and \(Y\) is a \(X\), for every \(f\in Y_{+}^{\ast}\) (the…
Extension of bounded linear functionals and best approximation in space with asymmetric norm
Abstract The present paper is concerned with the characterization of the elements of best approximation in a subspace \(Y\) of…
Characterization of ε-nearest points in space with asymmetric seminorm
Abstract In this note we are concerned with the characterization of the elements of \(\varepsilon\)-best approximation (\varepsilon\)-nearest points) in a…
Best approximation in spaces with asymmetric norm
Abstract In this paper we shall present some results on spaces with asymmetric seminorms, with emphasis on best approximation problems…
On the converses of the reduction principle in inner product spaces
Abstract Let \(H\) be an inner product space, \(X\) a complete subspace of \(H\), and \(Y\) a closed subspace of…
Best uniform approximation of semi-Lipschitz function by extension
Abstract In this paper we consider the problem of best uniform approximation of a real valued semi-Lipschitz function \(F\) defined…
Best uniform approximation of a bounded function by extensions of semi-Lipschitz functions
Abstract In this note we consider the problem of best uniform approximation of a real valued bounded function \(f\) defined…