Reflexivity of finite-dimensional sets of operatorsBračič, Janko (Avtor) reflexive set of operatorslocally linearly dependent operatorsflat sets of operatorsA non-empty set of operators $\mathcal{M}$ is reflexive if an operator $T$ is in $\mathcal{M}$ if and only if $Tx\in \overline{\mathcal{M} x}$, for all vectors $x$. In this paper, we study the reflexivity of finite-dimensional sets of operators. We introduce the class of flat sets of operators and prove several results related to the reflexivity of these sets; in particular, we show that the convex hull of three (or fewer) operators is reflexive.20232023-11-27 15:27:19Članek v reviji152551UDK: 517.9ISSN pri članku: 1735-8787DOI: 10.1007/s43037-023-00299-6COBISS_ID: 169806083sl