This category marks all the ICTP posts containing the pdf file of the paper/book.
On the extremal semi-Lipschitz function
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
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
Abstract A well known result of R. R. Phelps (1960) asserts that in order that every linear continuous functional, defined…
On the extension of semi-Lipschitz functions on asymmetric normed spaces
Abstract Extension theorems for semi-Lipschitz functions and some proper- ties of these extensions useful in approximation problems are presented. As…
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…
On a theorem of Baire about lower semi-continuous functions
Abstract A theorem of Baire concerning the approximation of lower semicontinuous real valued functions defined on a metric space, by…
Extensions of semi-Hölder real valued functions on a quasi-metric space
Abstract In this note, the semi-Holder real valued functions on a quasi-metric (asymmetric metric) space are defined. An extension theorem…
On the existence and uniqueness of extensions of semi-Holder real-valued functions
Abstract Let \((X,d)\) be a quasi-metric space, \(y_{0}\in X\) a fixed element and \(Y\) a subset of \(X\) such that…
Despre începuturile biomatematicii
Abstract AuthorsRadu Precup Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania Keywords? Paper coordinatesR. Precup, Despre începuturile biomatematicii, Gazeta matematica –…