Some properties of essential spectra of a positive operator. II

DOI10.1007/s11117-008-2221-zzbMath1172.47027OpenAlexW2025670605MaRDI QIDQ1007109

Egor A. Alekhno

Publication date: 27 March 2009

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-008-2221-z

zbMATH Keywords

Fredholm operatoressential spectrumpositive operatorFrobenius normal form

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) (Semi-) Fredholm operators; index theories (47A53) Positive linear operators and order-bounded operators (47B65) Local spectral properties of linear operators (47A11) Chains (nests) of projections or of invariant subspaces, integrals along chains, etc. (47A46)

Related Items (11)

Spectral mapping theorems for the upper Weyl and upper Browder spectra ⋮ The upper Browder spectrum property ⋮ Spectral theory in ordered Banach algebras ⋮ \(r\)-Fredholm theory in ordered Banach algebras ⋮ A note on the order Lozanovsky spectrum for positive operators ⋮ The irreducibility in ordered Banach algebras ⋮ On the peripheral spectrum of positive operators ⋮ A note on the lower Weyl and Lozanovsky spectra of a positive element ⋮ The lower Weyl spectrum of a positive operator ⋮ r-FREDHOLM THEORY IN BANACH ALGEBRAS ⋮ Fredholm theory in ordered Banach algebras

Cites Work

• Banach lattices
• On principal \(T\)-bands in a Banach lattice
• Some properties of essential spectra of a positive operator
• Converses for the Dodds–Fremlin and Kalton–Saab theorems
• On the peripheral spectrum of positive operators
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