arXiv subjects

Fares Maalouf

Publications and source records attributed to Fares Maalouf.

2 recordsLinked to original sources

arXiv2016

Essential norms of Volterra and Cesàro operators on Müntz spaces

We study the properties of the Volterra and Cesàro operators viewed on the $L^1$-Müntz space $M_Λ^1$ with range in the space of continuous functions. These operators are neither compact nor weakly compact. We estimate how far from being (weakly) compact they are by computing their (generalized) essential norm. It turns out that this latter does not depend on $Λ$ and is equal to $1/2$.

math.FA↗

arXiv2014

Group construction in non-trivial geometric $C$-minimal structures

We show that an infinite group is definable in any non trivial geometric $C$-minimal structure which is definably maximal and does not have any definable bijection between a bounded interval and an unbounded one in its canonical tree. No kind of linearity is assumed.

math.LO↗