Formulae for joint spectral radii of sets of operators
Volume 149 / 2002
Studia Mathematica 149 (2002), 23-37
MSC: Primary 47A13, 47D03, 47A30.
DOI: 10.4064/sm149-1-2
Abstract
The formula is proved for precompact sets M of weakly compact operators on a Banach space. Here \varrho(M) is the joint spectral radius (the Rota–Strang radius), \varrho_{\chi}(M) is the Hausdorff spectral radius (connected with the Hausdorff measure of noncompactness) and r(M) is the Berger–Wang radius.
