Geodesic
Exponential bounds for noncommuting systems of matrices
Brian Jefferies1
1 School of Mathematics The University of New South Wales Sydney, NSW 2052, Australia
Studia Mathematica, Tome 144 (2001) no. 3, pp. 197-207 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 
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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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