On the invariant faces associated with a cone-preserving map

DOI10.1090/S0002-9947-00-02597-6zbMath0974.15019arXivmath/9802107OpenAlexW1483773143WikidataQ105581400 ScholiaQ105581400MaRDI QIDQ4510031

Bit-Shun Tam, Hans Schneider

Publication date: 19 October 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9802107

zbMATH Keywords

nonnegative matrixpolyhedral conecone-preserving mapPerron-Schaefer conditionspectral pair of a faceperfect conesemi-distinguished invariant facechain of invariant facesdistinguished generalized eigenvectorinitial subsetsemi-distinguished classspectral pair of a vectorstrictly convex smooth cone

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) Positive linear operators and order-bounded operators (47B65) Spectral sets of linear operators (47A25)

Related Items (7)

Two cores of a nonnegative matrix ⋮ On the distinguished eigenvalues of a cone-preserving map ⋮ Invariant measures on stationary Bratteli diagrams ⋮ The Perron generalized eigenspace and the spectral cone of a cone-preserving map ⋮ Maximal exponents of polyhedral cones (III) ⋮ Invariant measures for non-primitive tiling substitutions ⋮ Linear equations over cones and Collatz-Wielandt numbers

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