On lattice isomorphisms with positive real spectrum and groups of positive operators

DOI10.1007/BF01174818zbMath0377.47026MaRDI QIDQ1246724

Wolfgang Arendt, Manfred Wolff, Helmut H. Schaefer

Publication date: 1978

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172772

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Groups and semigroups of linear operators (47D03) Linear operators on ordered spaces (47B60)

Related Items (14)

On spectral properties of positive operators ⋮ The spectrum of quasi-invertible disjointness preserving operators ⋮ A spectral problem in ordered Banach algebras ⋮ An Elementary Proof of a Theorem of Schaefer, Wolff and Arendt ⋮ Spectral theory in ordered Banach algebras ⋮ Spectral Properties of Compact Lattice Homomorphisms ⋮ Two simple proofs for a theorem of Schaefer, Wolff and Arendt ⋮ Compact groups of positive operators on Banach lattices ⋮ Contractions with countable spectra and unicity properties of closed countable sets of the circle ⋮ On \(C_0\)-semigroups of lattice homomorphisms on a Banach lattice ⋮ Convergence structures and locally solid topologies on vector lattices of operators ⋮ ISOLATED POINTS OF THE APPROXIMATE POINT SPECTRUM OF CERTAIN LATTICE HOMOMORPHISMS ON C_o(X) ⋮ On \(C_0\)-semigroups of lattice homomorphisms on a Banach lattice ⋮ Convergence of positive operator semigroups

Cites Work

• Über das Spektrum von Verbandshomomorphismen in \(C(X)\)
• The spectrum of automorphisms of Banach algebras
• Automorphisms of Commutative Banach Algebras
• The Spectrum of a Derivation of a C^* -Algebra
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