On the spectral radius of positive operators

DOI10.1007/BF02571448zbMath0762.47012OpenAlexW2048210646MaRDI QIDQ1204304

Charalambos D. Aliprantis, Owen Burkinshaw, Yuri A. Abramovich

Publication date: 7 March 1993

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174461

zbMATH Keywords

positive operator on a Banach latticepositive kernel operatorcommutativity propertieslattice hyperinvariant subspace theoremorder continuous band irreducible positive operatorstrictly positive spectral radius

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Invariant subspaces of linear operators (47A15) Positive linear operators and order-bounded operators (47B65)

Related Items (7)

On commuting and semi-commuting positive operators ⋮ Extensions of Perron-Frobenius theory ⋮ EXISTENCE OF INVARIANT IDEALS FOR COMPACT OPERATORS WITH QUASI-NILPOTENT EXACT MAJORANT ⋮ On the ideal-triangularizability of positive operators on Banach lattices ⋮ Common invariant subspaces for finitely quasinilpotent collections of positive operators on a Banach space with a Schauder basis ⋮ Common invariant subspaces for collections of operators ⋮ Triangularizing semigroups of positive operators on an atomic normed Riesz Space

Cites Work

• Positive operators on Krein spaces
• Irreducible compact operators
• On theorems of de Pagter and Ando-Krieger
• Topologische Nilpotenz irreduzibler Operatoren
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