The spectrum of quasi-invertible disjointness preserving operators

DOI10.1016/0022-1236(86)90003-0zbMath0611.47030OpenAlexW2060910950MaRDI QIDQ1087810

Wolfgang Arendt, Deborah R. Hart

Publication date: 1986

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(86)90003-0

zbMATH Keywords

spectrumweighted composition operatorsRiesz homomorphismabstract multiplication operatorLamperti operatorquasi- nilpotent operatorquasi-invertible disjointness preserving operatorsstrictly periodic and aperiodic operators

Mathematics Subject Classification ID

Banach lattices (46B42) Spectrum, resolvent (47A10) Linear operators on ordered spaces (47B60)

Related Items

On spectral properties of positive operators, Spectral properties of elements in different Banach algebras, Disjointness preserving maps between vector-valued group algebras, Spectral Mapping Theorems for C₀‐groups Satisfying Non‐quasianalytic Growth Conditions, Automatic continuity of certain isomorphisms between regular Banach function algebras, Some remarks on disjointness preserving operators, Some aspects of the spectral theory of positive operators, Hammerstein Operators Preserving Disjointness, Bands in lattices of operators, Unnamed Item, A strongly diagonal power of algebraic order bounded disjointness preserving operators, Spectrum of weighted composition operators. VI: Essential spectra of \(d\)-endomorphisms of Banach \(C(K)\)-modules, r-ASYMPTOTICALLY QUASI-FINITE RANK OPERATORS AND THE SPECTRUM OF MEASURES

Cites Work

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• On the isometries of certain function-spaces
• On the 0-spektrum of regular operators and the spectrum of measures
• On the o-spectrum of order bounded operators
• On lattice isomorphisms with positive real spectrum and groups of positive operators
• Operators commuting with a von Neumann algebra modulo the set of compact operators
• A Note on Disjointness Preserving Operators
• ISOLATED POINTS OF THE APPROXIMATE POINT SPECTRUM OF CERTAIN LATTICE HOMOMORPHISMS ON C_o(X)
• Spectral Properties of Compact Lattice Homomorphisms
• The spectrum and commutant of a certain weighted translation operator.
• Extensions and Liftings of Positive Linear Mappings on Banach Lattices
• Approximation and invariant measures
• Aperiodic transformations
• Selected topics from the metric theory of dynamical systems