Formulae for joint spectral radii of sets of operators

Victor S. Shulman, and Yuriĭ V. Turovskii. "Formulae for joint spectral radii of sets of operators." Studia Mathematica 149.1 (2002): 23-37. <http://eudml.org/doc/284908>.

@article{VictorS2002,
abstract = {The formula $ϱ(M) = max\{ϱ_\{χ\}(M),r(M)\}$ is proved for precompact sets M of weakly compact operators on a Banach space. Here ϱ(M) is the joint spectral radius (the Rota-Strang radius), $ϱ_\{χ\}(M)$ is the Hausdorff spectral radius (connected with the Hausdorff measure of noncompactness) and r(M) is the Berger-Wang radius.},
author = {Victor S. Shulman, Yuriĭ V. Turovskii},
journal = {Studia Mathematica},
keywords = {joint spectral radius; invariant subspace; Banach algebra},
language = {eng},
number = {1},
pages = {23-37},
title = {Formulae for joint spectral radii of sets of operators},
url = {http://eudml.org/doc/284908},
volume = {149},
year = {2002},
}

TY - JOUR
AU - Victor S. Shulman
AU - Yuriĭ V. Turovskii
TI - Formulae for joint spectral radii of sets of operators
JO - Studia Mathematica
PY - 2002
VL - 149
IS - 1
SP - 23
EP - 37
AB - The formula $ϱ(M) = max{ϱ_{χ}(M),r(M)}$ is proved for precompact sets M of weakly compact operators on a Banach space. Here ϱ(M) is the joint spectral radius (the Rota-Strang radius), $ϱ_{χ}(M)$ is the Hausdorff spectral radius (connected with the Hausdorff measure of noncompactness) and r(M) is the Berger-Wang radius.
LA - eng
KW - joint spectral radius; invariant subspace; Banach algebra
UR - http://eudml.org/doc/284908
ER -