Exponential bounds for noncommuting systems of matrices

Brian Jefferies. "Exponential bounds for noncommuting systems of matrices." Studia Mathematica 144.3 (2001): 197-207. <http://eudml.org/doc/284746>.

@article{BrianJefferies2001,
abstract = {It is shown that a finite system T of matrices whose real linear combinations have real spectrum satisfies a bound of the form $||e^\{i⟨T,ζ⟩\}|| ≤ C(1+|ζ|)^\{s\}e^\{r|ℑ ζ|\}$. The proof appeals to the monogenic functional calculus.},
author = {Brian Jefferies},
journal = {Studia Mathematica},
keywords = {exponential bound; Clifford algebra; monogenic function; functional calculus},
language = {eng},
number = {3},
pages = {197-207},
title = {Exponential bounds for noncommuting systems of matrices},
url = {http://eudml.org/doc/284746},
volume = {144},
year = {2001},
}

TY - JOUR
AU - Brian Jefferies
TI - Exponential bounds for noncommuting systems of matrices
JO - Studia Mathematica
PY - 2001
VL - 144
IS - 3
SP - 197
EP - 207
AB - It is shown that a finite system T of matrices whose real linear combinations have real spectrum satisfies a bound of the form $||e^{i⟨T,ζ⟩}|| ≤ C(1+|ζ|)^{s}e^{r|ℑ ζ|}$. The proof appeals to the monogenic functional calculus.
LA - eng
KW - exponential bound; Clifford algebra; monogenic function; functional calculus
UR - http://eudml.org/doc/284746
ER -