Positive root vectors

DOI10.1017/S0308210500030304zbMath0832.47030MaRDI QIDQ4857077

Matjaž Omladič, Vesna Omladič

Publication date: 26 February 1996

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

spectral radiuspositive eigenvectorspectral subspacepositive compact nonquasinilpotent operator on a Banach latticepositive root vectors

Mathematics Subject Classification ID

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

Cites Work

• Generalized eigenvectors and sets of nonnegative matrices
• On the ideal structure of positive, eventually compact linear operators on Banach lattices
• An algebraic-analytic approach to nonnegative bases
• Irreducible compact operators
• The influence of the marked reduced graph of a nonnegative matrix on the Jordan form and on related properties: a survey
• On the generalized nullspace of M-matrices and Z-matrices
• On linear integral operators with nonnegative kernels
• The structure of the algebraic eigenspace to the spectral radius of eventually compact, nonnegative integral operators
• On nonnegative solvability of linear integral equations
• Algebraic eigenspaces of nonnegative matrices
• On the singular graph and the Weyl characteristic of an M-matrix
• Peak characteristic and nonnegative signature
• Combinatorial bases, derived jordan sets and the equality of the height and level characteristics of anM-matrix
• The Structure of a Positive Linear Integral Operator
• Height bases, level bases, and the equality of the height and the level characteristics of anM-matrix

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