The spectral radius in partially ordered algebras

DOI10.1016/j.laa.2005.10.018zbMath1103.47003OpenAlexW2127808610MaRDI QIDQ2502885

Thomas I. Seidman, Hans Schneider

Publication date: 13 September 2006

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2005.10.018

zbMATH Keywords

spectral radiusspectrumcompletenesspositive coneoperator algebraPerron-Frobenius theorempartially ordered algebraspartially ordered Banach spacessemimonotone norms

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Spectrum, resolvent (47A10) Positive linear operators and order-bounded operators (47B65) Topological algebras of operators (46H35)

Cites Work

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• Comparison theorems using general cones for norms of iteration matrices
• Sequence spaces with a given Köthe \(\beta\)-dual
• Matrix Iterative Analysis

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