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A note on a theorem of Raubenheimer and Rode

Author(s): Gerd Herzog; Christoph Schmoeger
Journal: Proc. Amer. Math. Soc. 131 (2003), 3507-3509.
MSC (2000): Primary 45H05
Posted: February 14, 2003
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Abstract: We prove the converse of Raubenheimer and Rode's Banach algebra version of the Perron-Frobenius Theorem.

References:

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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