Formulae for joint spectral radii of sets of operators

• Autorzy: Victor S. Shulman , Yuriĭ V. Turovskii
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47A30: Norms (inequalities, more than one norm, etc.)
• 47D03: Groups and semigroups of linear operators
• 47A13: Several-variable operator theory (spectral, Fredholm, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 149
• Numer: 1
• Strony: 23-37

Daty

wydano

2002

Twórcy

autor

Victor S. Shulman

• Department of Mathematics, Vologda State Technical University, 15 Lenin St., Vologda 160000, Russia
• School of Mathematical Sciences, University of North London, 166-220 Holloway Rd., London N7 8DB, UK

autor

Yuriĭ V. Turovskii

• Institute of Mathematics and Mechanics, 9 F. Agaev St., Baku 370141, Azerbaijan

Identyfikatory

DOI

10.4064/sm149-1-2