Cones in Banach algebras

DOI10.1016/S0019-3577(97)89135-5zbMath0887.46026MaRDI QIDQ675788

Juan-Miguel Gracia

Publication date: 25 May 1998

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

spectral radiusspectral theoryordered Banach algebraPerron-Frobenius Theorempositive cone closed under multiplication

Mathematics Subject Classification ID

General theory of topological algebras (46H05) Ordered normed spaces (46B40)

Related Items (27)

A spectral problem in ordered Banach algebras ⋮ Algebra cone generalized b-metric space over Banach algebra and fixed point theorems of generalized Lipschitz mappings ⋮ Spectral mapping theorems for the upper Weyl and upper Browder spectra ⋮ The order continuity in ordered algebras ⋮ The upper Browder spectrum property ⋮ Factorization in ordered Banach algebras ⋮ Spectral theory in ordered Banach algebras ⋮ Ordered Banach algebras and multi-norms: some open problems ⋮ \(r\)-Fredholm theory in ordered Banach algebras ⋮ Eventually positive elements in ordered Banach algebras ⋮ The irreducibility in ordered Banach algebras ⋮ Unnamed Item ⋮ Inheritance Properties of Positive Cones Induced by Subalgebras and Quotients of Ordered Banach Algebras ⋮ On Ordered C*-algebras ⋮ On Poles of the Resolvents of Dominated Elements in Ordered Banach Algebras ⋮ A note on the lower Weyl and Lozanovsky spectra of a positive element ⋮ An example on ordered Banach algebras ⋮ A note on a theorem of Raubenheimer and Rode ⋮ On the peripheral spectrum of positive elements ⋮ A condition for spectral continuity of positive elements ⋮ Domination by ergodic elements in ordered Banach algebras ⋮ Exponential nonnegativity ⋮ Fredholm theory in ordered Banach algebras ⋮ On the boundary spectrum in banach algebras ⋮ Applications of the scarcity theorem in ordered Banach algebras ⋮ On the submultiplicativity and subadditivity of the spectral and essential spectral radius ⋮ Generalized \(M\)-matrices and ordered Banach algebras

Cites Work

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• The Perron-Frobenius theorem in relative spectral theory
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• Quelques propriétés spectrales des opérateurs positifs. (Some spectral properties of positive operators)
• Measures of non-compactness of operators in Banach lattices
• The zero-two law in Banach lattice algebras
• Positive compact operators on Banach lattices
• Compact operators in Banach lattices
• On the 0-spektrum of regular operators and the spectrum of measures
• On the o-spectrum of order bounded operators
• Monotonicity of spectral radius for positive operators on ordered Banach spaces
• Essential order spectra of convolution operators
• Some spectral properties of positive linear operators
• Positive eigenvectors of order-preserving maps
• Inessential Elements in Banach Algebras
• THE o-SPECTRUM OF r-ASYMPTOTICALLY QUASI-FINITE-RANK OPERATORS
• On Weakly Compact Operators on Banach Lattices
• Dunford-Pettis Operators on Banach Lattices
• Spectral properties of elements in different Banach algebras
• On the positivity of the unit element in a normed lattice ordered algebra
• r-ASYMPTOTICALLY QUASI-FINITE RANK OPERATORS AND THE SPECTRUM OF MEASURES
• Frobenius Theory of Positive Operators: Comparison Theorems and Applications
• On the peripheral spectrum of positive operators

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