Formulae for joint spectral radii of sets of operators

Victor S. Shulman; Yuriĭ V. Turovskii

Studia Mathematica, Tome 151 (2002), p. 23-37 / Harvested from The Polish Digital Mathematics Library

Résumé

The formula $ϱ (M) = m a x ϱ_{χ} (M), r (M)$ 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.

Publié le : 2002-01-01

Zbl 1016.47006

EUDML-ID : urn:eudml:doc:284908

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     title = {Formulae for joint spectral radii of sets of operators},
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Victor S. Shulman; Yuriĭ V. Turovskii. Formulae for joint spectral radii of sets of operators. Studia Mathematica, Tome 151 (2002) pp. 23-37. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm149-1-2/