Exponential bounds for noncommuting systems of matrices

Brian Jefferies

Brian Jefferies

Studia Mathematica, Tome 147 (2001), p. 197-207 / Harvested from The Polish Digital Mathematics Library

Résumé

It is shown that a finite system T of matrices whose real linear combinations have real spectrum satisfies a bound of the form $| | e^{i ⟨ T, ζ ⟩} | | \leq C (1 + {| ζ |)}^{s} e^{r | ℑ ζ |}$ . The proof appeals to the monogenic functional calculus.

Publié le : 2001-01-01

Zbl 0985.47014

EUDML-ID : urn:eudml:doc:284746

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     title = {Exponential bounds for noncommuting systems of matrices},
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     volume = {147},
     year = {2001},
     pages = {197-207},
     zbl = {0985.47014},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm144-3-1}
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Brian Jefferies. Exponential bounds for noncommuting systems of matrices. Studia Mathematica, Tome 147 (2001) pp. 197-207. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm144-3-1/