A cone-theoretic approach to the spectral theory of positive linear operators: The finite-dimensional case

DOI10.11650/twjm/1500407336zbMath0990.15009OpenAlexW1541102691MaRDI QIDQ5944177

Bit-Shun Tam

Publication date: 7 November 2001

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500407336

zbMATH Keywords

coreCollatz-Wielandt sets (numbers)cone-preserving maplocal spectral radiusnon-negative matrixperipheral spectrumPerron-Frobenius theoryPerron-Schaefer conditionRothblum index theoremspectral pair of a face

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Spectrum, resolvent (47A10) Positive linear operators and order-bounded operators (47B65)

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