Geodesic
Formulae for joint spectral radii of sets of operators
Victor S. Shulman 1   ; Yuriĭ V. Turovskii 2
1 Department of Mathematics Vologda State Technical University 15 Lenin St., Vologda 160000, Russia and School of Mathematical Sciences University of North London 166-220 Holloway Rd. London N7 8DB, UK
2 Institute of Mathematics and Mechanics 9 F. Agaev St. Baku 370141, Azerbaijan
Studia Mathematica, Tome 149 (2002) no. 1, pp. 23-37 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The formula $\varrho(M)=\max\{\varrho_{\chi}(M),r(M)\}$ 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.
DOI : 10.4064/sm149-1-2
Keywords: formula varrho max varrho chi proved precompact sets weakly compact operators banach space here varrho joint spectral radius rota strang radius varrho chi hausdorff spectral radius connected hausdorff measure noncompactness berger wang radius

Victor S. Shulman  1   ; Yuriĭ V. Turovskii  2

1 Department of Mathematics Vologda State Technical University 15 Lenin St., Vologda 160000, Russia and School of Mathematical Sciences University of North London 166-220 Holloway Rd. London N7 8DB, UK
2 Institute of Mathematics and Mechanics 9 F. Agaev St. Baku 370141, Azerbaijan 
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Victor S. Shulman; Yuriĭ V. Turovskii. Formulae for joint spectral radii of sets of operators. Studia Mathematica, Tome 149 (2002) no. 1, pp. 23-37. doi: 10.4064/sm149-1-2

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