Dmitriy Bilik

collaborators

2 papers

math.FA2001

Narrow operators and the Daugavet property for ultraproducts

Dmitriy Bilik, Vladimir Kadets, Roman Shvidkoy +1

We show that if $T$ is a narrow operator on $X = X_{1} \oplus_{1} X_{2}$ or $X = X_{1} \oplus_{\infty} X_{2}$ , then the restrictions to $X_{1}$ and $X_{2}$ are narrow and conversely. We…

math.FA2001

Narrow operators on vector-valued sup-normed spaces

Dmitriy Bilik, Vladimir Kadets, Roman Shvidkoy +2

We characterise narrow and strong Daugavet operators on $C (K, E)$ -spaces; these are in a way the largest sensible classes of operators for which the norm equation $\|Id+T\| = 1+\|T\…