Geodesic
Exponential bounds for noncommuting systems of matrices
Brian Jefferies1
1School of Mathematics The University of New South Wales Sydney, NSW 2052, Australia
Studia Mathematica, Tome 144 (2001) no. 3, pp. 197-207

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm144-3-1
Keywords: shown finite system matrices whose real linear combinations have real spectrum satisfies bound form langle zeta rangle zeta zeta proof appeals monogenic functional calculus

Brian Jefferies  1

1 School of Mathematics The University of New South Wales Sydney, NSW 2052, Australia 
Brian Jefferies. Exponential bounds for noncommuting systems of matrices. Studia Mathematica, Tome 144 (2001) no. 3, pp. 197-207. doi: 10.4064/sm144-3-1
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