On the peripheral spectrum of positive operators

DOI10.1007/s11117-015-0357-1zbMath1440.47034arXiv1503.02430OpenAlexW3100219216MaRDI QIDQ5890724

Jochen Glück

Publication date: 10 June 2016

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.02430

zbMATH Keywords

positive operatorperipheral spectrumPerron-Frobenius theorygrowth conditioncyclicperipheral point spectrum

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Positive linear operators and order-bounded operators (47B65)

Related Items (9)

Application of Shemesh theorem to quantum channels ⋮ Towards a Perron-Frobenius theory for eventually positive operators ⋮ Generalized Dobrushin ergodicity coefficient and uniform ergodicities of Markov operators ⋮ A note on the spectrum of irreducible operators and semigroups ⋮ Doubly power-bounded operators on \(L^{p}\), \(2\neq p > 1\) ⋮ On the peripheral spectrum of positive elements ⋮ Spectral gaps for hyperbounded operators ⋮ Lower bounds and the asymptotic behaviour of positive operator semigroups ⋮ SPECTRAL CONDITIONS FOR UNIFORM P-ERGODICITIES OF MARKOV OPERATORS ON ABSTRACT STATES SPACES

Cites Work

• Extensions of Perron-Frobenius theory
• Non-spectral asymptotic analysis of one-parameter operator semigroups
• Some properties of essential spectra of a positive operator. II
• Mean-bounded operators and mean ergodic theorems
• Ergodic theorems. With a supplement by Antoine Brunel
• One-parameter semigroups of positive operators
• Banach lattices
• On spectral properties of positive operators
• Some properties of essential spectra of a positive operator
• Positive semigroups behave asymptotically as rotation groups
• Über das Spektrum positiver Operatoren
• Das Spektrum von Verbandsoperatoren in Banachverbänden
• On invariant measures and ergodic theorems for positive operators
• On the positivity of the unit element in a normed lattice ordered algebra
• Ultraproducts in Banach space theory.
• One-Parameter Semigroups for Linear Evolution Equations
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