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A note on a theorem of Raubenheimer and Rode


Authors: Gerd Herzog and Christoph Schmoeger
Journal: Proc. Amer. Math. Soc. 131 (2003), 3507-3509
MSC (2000): Primary 45H05
DOI: https://doi.org/10.1090/S0002-9939-03-06915-6
Published electronically: February 14, 2003
MathSciNet review: 1991762
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Abstract | References | Similar Articles | Additional Information

Abstract: We prove the converse of Raubenheimer and Rode's Banach algebra version of the Perron-Frobenius Theorem.


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

  • 1. Berberian, S.K.: Lectures in functional analysis and operator theory. Graduate Texts in Mathematics, Springer-Verlag, New York, 1974. MR 54:5775
  • 2. Raubenheimer, H., Rode, S.: Cones in Banach algebras. Indag. Mathem. 7 (1996), 489-502. MR 99i:46035
  • 3. Rudin, W.: Functional analysis. Second edition. International Series in Pure and Applied Mathematics. McGraw-Hill, Inc., New York, 1991. MR 92k:46001

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Additional Information

Gerd Herzog
Affiliation: Mathematisches Institut I, Universität Karlsruhe, D-76128 Karlsruhe, Germany
Email: Gerd.Herzog@math.uni-karlsruhe.de

Christoph Schmoeger
Affiliation: Mathematisches Institut I, Universität Karlsruhe, D-76128 Karlsruhe, Germany
Email: Christoph.Schmoeger@math.uni-karlsruhe.de

DOI: https://doi.org/10.1090/S0002-9939-03-06915-6
Received by editor(s): June 4, 2002
Published electronically: February 14, 2003
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2003 American Mathematical Society

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