Analytic joint spectral radius in a solvable Lie algebra of operators

Daniel Beltiţă. "Analytic joint spectral radius in a solvable Lie algebra of operators." Studia Mathematica 144.2 (2001): 153-167. <http://eudml.org/doc/285057>.

@article{DanielBeltiţă2001,
abstract = {We introduce the concept of analytic spectral radius for a family of operators indexed by some finite measure space. This spectral radius is compared with the algebraic and geometric spectral radii when the operators belong to some finite-dimensional solvable Lie algebra. We describe several situations when the three spectral radii coincide. These results extend well known facts concerning commuting n-tuples of operators.},
author = {Daniel Beltiţă},
journal = {Studia Mathematica},
keywords = {analytic spectral radius; solvable Lie algebra},
language = {eng},
number = {2},
pages = {153-167},
title = {Analytic joint spectral radius in a solvable Lie algebra of operators},
url = {http://eudml.org/doc/285057},
volume = {144},
year = {2001},
}

TY - JOUR
AU - Daniel Beltiţă
TI - Analytic joint spectral radius in a solvable Lie algebra of operators
JO - Studia Mathematica
PY - 2001
VL - 144
IS - 2
SP - 153
EP - 167
AB - We introduce the concept of analytic spectral radius for a family of operators indexed by some finite measure space. This spectral radius is compared with the algebraic and geometric spectral radii when the operators belong to some finite-dimensional solvable Lie algebra. We describe several situations when the three spectral radii coincide. These results extend well known facts concerning commuting n-tuples of operators.
LA - eng
KW - analytic spectral radius; solvable Lie algebra
UR - http://eudml.org/doc/285057
ER -