The spectral radius in partially ordered algebras

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The spectral radius in partially ordered algebras

We prove theorems of Perron–Frobenius type for positive elements in partially ordered topological algebras satisfying certain hypotheses. We show how some of our results relate to known results on Banach algebras. We give examples and state some open questions. © 2005 Elsevier Inc. All rights reserved. AMS classification: 47A10; 46H35; 47B65; 15A48

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ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 2006

ISSN: 0024-3795

DOI: 10.1016/j.laa.2005.10.018