On principal \(T\)-bands in a Banach lattice

DOI10.1007/BF01309156zbMath0904.47027MaRDI QIDQ1378098

C. J. Reinecke, Jacobus J. Grobler

Publication date: 4 March 1998

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Köthe dualgeneralized eigenspaceFrobenius decompositiondisjoint principal \(T\)-bandsorder complete complex Banach latticepositive order continuous Riesz operator

Mathematics Subject Classification ID

Banach lattices (46B42) Spectrum, resolvent (47A10) Linear operators on ordered spaces (47B60) Positive linear operators and order-bounded operators (47B65)

Related Items (4)

The irreducibility in ordered Banach algebras ⋮ The lower Weyl spectrum of a positive operator ⋮ Some properties of essential spectra of a positive operator. II ⋮ On the spectral theory of positive operators and PDE applications

Cites Work

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• On the ideal structure of positive, eventually compact linear operators on Banach lattices
• Irreducible compact operators
• On linear integral operators with nonnegative kernels
• The structure of the algebraic eigenspace to the spectral radius of eventually compact, nonnegative integral operators
• Banach lattices
• Algebraic eigenspaces of nonnegative matrices
• Über das Spektrum positiver Operatoren
• ON THE SPECTRAL RADIUS OF IRREDUCIBLE AND WEAKLY IRREDUCIBLE OPERATORS IN BANACH LATPICES

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