Roman Drnovšek

collaborators

2 papers

math.FA2025

Positive self-commutators of positive operators

Roman Drnovšek, Marko Kandić

We consider a positive operator $A$ on a Hilbert lattice such that its self-commutator $C = A^{*} A - A A^{*}$ is positive. If $A$ is also idempotent, then it is an orthogonal projecti…

math.FA2023

On commutators of idempotents

Roman Drnovšek

Let $T$ be an operator on Banach space $X$ that is similar to $- T$ via an involution $U$ . Then $U$ decomposes the Banach space $X$ as $X = X_{1} \oplus X_{2}$ with respect to which de…