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This category marks all the ICTP posts containing the pdf file of the paper/book.

Some remarks concerning norm preserving extension and best approximation

3 years ago

Abstract Let \(X,Y\) be two normed spaces, \(X_{1}\) a subspace of \(X\) and \(A:X \rightarrow Y\) a continuous linear operator.…

Uniqueness of extension of semi-Lipschitz functions on quasi-metric spaces

3 years ago

Abstract AuthorsCostica Mustata “Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania KeywordsPaper coordinatesC. Mustăţa, Uniqueness of extension of semi-Lipschitz…

Extension of semi Lipschitz function on quasi-metric spaces

3 years ago

Abstract The aim of this note is to prove an extension theorem for semi-Lipschitz real functions defined on quasi-metric spaces,…

Extension of convex semi-Lipschitz functions on quasi-metric linear spaces

3 years ago

Abstract In this paper one shows that a convex semi-Lipschitz functions defined on a convex subset of a quasi-metric linear…

On the extremal semi-Lipschitz function

3 years ago

Abstract The extremal elements of the unit balls of Banach spaces play an important role in the study of the…

A Phelps type result for spaces with asymmetric norms

3 years ago

Abstract If \((X,||\cdot|)\) is a linear space with asymmetric norm and \(Y\) is a \(X\), for every \(f\in Y_{+}^{\ast}\) (the…

On the uniqueness of extension and unique best approximation in the dual of an asymmetric normed linear space

3 years ago

Abstract A well known result of R. R. Phelps (1960) asserts that in order that every linear continuous functional, defined…

Extension of bounded linear functionals and best approximation in space with asymmetric norm

3 years ago

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

3 years ago

Abstract In this note we are concerned with the characterization of the elements of \(\varepsilon\)-best approximation (\varepsilon\)-nearest points) in a…

On the extension of semi-Lipschitz functions on asymmetric normed spaces

3 years ago

Abstract Extension theorems for semi-Lipschitz functions and some proper- ties of these extensions useful in approximation problems are presented. As…

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