A note on a theorem of Raubenheimer and Rode
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- by Gerd Herzog and Christoph Schmoeger PDF
- Proc. Amer. Math. Soc. 131 (2003), 3507-3509 Request permission
Abstract:
We prove the converse of Raubenheimer and Rode’s Banach algebra version of the Perron-Frobenius Theorem.References
- Sterling K. Berberian, Lectures in functional analysis and operator theory, Graduate Texts in Mathematics, No. 15, Springer-Verlag, New York-Heidelberg, 1974. MR 0417727, DOI 10.1007/978-1-4757-4090-5
- H. Raubenheimer and S. Rode, Cones in Banach algebras, Indag. Math. (N.S.) 7 (1996), no. 4, 489–502. MR 1620116, DOI 10.1016/S0019-3577(97)89135-5
- Walter Rudin, Functional analysis, 2nd ed., International Series in Pure and Applied Mathematics, McGraw-Hill, Inc., New York, 1991. MR 1157815
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
- Received by editor(s): June 4, 2002
- Published electronically: February 14, 2003
- Communicated by: Joseph A. Ball
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 3507-3509
- MSC (2000): Primary 45H05
- DOI: https://doi.org/10.1090/S0002-9939-03-06915-6
- MathSciNet review: 1991762