Abstract
In multicentric holomorphic calculus, one represents the function $\varphi$, using a new polynomial variable $w=p(z),$ $z\in \mathbb{C},$ in such a way that when it is evaluated at the operator $T,$ then $p(T)$ is small in norm. Usually it is assumed that $p$ has distinct roots. In this paper we aim to extend this multicentric holomorphic calculus to $n$-tuples of commuting operators looking in particular at the case when $n=2$.
Citation
ِDiana Andrei. "Multicentric holomorphic calculus for $n-$tuples of commuting operators." Adv. Oper. Theory 4 (2) 447 - 461, Spring 2019. https://doi.org/10.15352/aot.1804-1346
Information