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A formula for the joint local spectral radius


Authors: E. Yu. Emel'yanov and Z. Ercan
Journal: Proc. Amer. Math. Soc. 132 (2004), 1449-1451
MSC (2000): Primary 47A11, 47A13, 46H05
DOI: https://doi.org/10.1090/S0002-9939-03-07199-5
Published electronically: October 8, 2003
MathSciNet review: 2053352
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Abstract | References | Similar Articles | Additional Information

Abstract: We give a formula for the joint local spectral radius of a bounded subset of bounded linear operators on a Banach space $X$ in terms of the dual of $X$.


References [Enhancements On Off] (What's this?)

  • [1] J. Diestel, Sequences and series in Banach spaces, Graduate Texts in Mathematics 92, Springer-Verlag, New York (1984). MR 85i:46020
  • [2] R. Drnovsek, On reducibility of semigroups of compact quasinilpotent operators, Proc. Amer. Math. Soc. 125 (1997), 2391-2394. MR 97m:47007
  • [3] Z. Ercan and S. Onal, Invariant subspaces for positive operators acting on a Banach space with Markuhevich basis, Positivity. (to appear)
  • [4] P. Rosenthal and A. Soltysiak, Formulas for the joint spectral radius of noncommuting Banach algebra elements, Proc. Amer. Math. Soc. 123 (1995), 2705-2708. MR 95k:47008
  • [5] G.-C. Rota and W. G. Strang, A note on the joint spectral radius, Indag. Math. 22 (1960), 379-381. MR 26:5434
  • [6] V. S. Shulman and Yu. V. Turovskii, Joint spectral radius, operator semigroups, and a problem of W. Wojtynski, J. Funct. Anal. 177 (2000), 383-441. MR 2002d:47099

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Additional Information

E. Yu. Emel'yanov
Affiliation: Sobolev Institute of Mathematics, Acad. Koptyug pr. 4, 630090 Novosibirsk, Russia
Address at time of publication: Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
Email: emelanov@math.nsc.ru

Z. Ercan
Affiliation: Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
Email: zercan@metu.edu.tr

DOI: https://doi.org/10.1090/S0002-9939-03-07199-5
Keywords: Joint local spectral radius, joint spectral radius, Banach algebra
Received by editor(s): November 23, 2002
Received by editor(s) in revised form: January 9, 2003
Published electronically: October 8, 2003
Additional Notes: The work of the first author was supported by the Scientific and Technical Research Council of Turkey
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2003 American Mathematical Society

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