Exponential bounds for noncommuting systems of matrices
Volume 144 / 2001
Studia Mathematica 144 (2001), 197-207
MSC: Primary 47A60, 46H30; Secondary 47A25, 30G35.
DOI: 10.4064/sm144-3-1
Abstract
It is shown that a finite system $T$ of matrices whose real linear combinations have real spectrum satisfies a bound of the form $\| e^{i\langle T,\zeta \rangle }\| \le C(1+|\zeta |)^se^{r|\Im \zeta |}$. The proof appeals to the monogenic functional calculus.
