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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A formula for the joint local spectral radius
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by E. Yu. Emel’yanov and Z. Ercan PDF
Proc. Amer. Math. Soc. 132 (2004), 1449-1451 Request permission

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
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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
  • MR Author ID: 353198
  • Email: emelanov@math.nsc.ru
  • Z. Ercan
  • Affiliation: Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
  • Email: zercan@metu.edu.tr
  • 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
  • © Copyright 2003 American Mathematical Society
  • 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
  • MathSciNet review: 2053352