6 citations · 8 across the 6 of their papers we have counts for
6 papers
Stability of roots of polynomials under linear combinations of derivatives
Branko Ćurgus, Vania Mascioni
Let , where is the differentiation operator and , and let be a square-free polynomial with large minimum root separation. We prov…
Roots and polynomials as homeomorphic spaces
Branko Ćurgus, Vania Mascioni
We provide a unified, elementary, topological approach to the classical results stating the continuity of the complex roots of a polynomial with respect to its coefficients, and th…
Perturbations of roots under linear transformations of polynomials
Branko Ćurgus, Vania Mascioni
Let $\cP_n$ be the complex vector space of all polynomials of degree at most . We give several characterizations of the linear operators $T\in\cL(\cP_n)$ for which there exists…
Linear maps on factors which preserve the extreme points of the unit ball
Vania Mascioni, Lajos Molnar
The aim of this paper is to characterize those linear maps from a von Neumann factor $\A$ into itself which preserve the extreme points of the unit ball of $\A$. For example, we sh…
Linear maps between C*-algebras whose adjoints preserve extreme points of the dual ball
Louis E. Labuschagne, Vania Mascioni
We give a structural characterisation of linear operators from one % -algebra into another whose adjoints map extreme points of the dual ball onto extreme points. We show t…
On Functions of Finite Baire Index
Fouad Chaatit, Vania Mascioni, Haskell P. Rosenthal
It is proved that every function of finite Baire index on a separable metric space is a -function, i.e., a difference of bounded semi-continuous functions on . In fact it…