An embedding of the algebra of order bounded operators on a Dedekind complete Banach lattice

DOI10.1007/BF02571517zbMath0696.47036MaRDI QIDQ1193930

S. Singh

Publication date: 27 September 1992

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

Full work available at URL: https://eudml.org/doc/174308

zbMATH Keywords

spectrumalgebra homomorphismorder bounded linear operatorsDedekind complete Banach latticethe order spectrum of lattice homomorphisms and of positive interval preserving linear operators are cyclic

Mathematics Subject Classification ID

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

Cites Work

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• The zero-two law for positive contractions is valid in all Banach lattices
• The zero-two law in Banach lattice algebras
• On the 0-spektrum of regular operators and the spectrum of measures
• On lattice properties of the composition operator
• Über das Spektrum positiver Operatoren
• THE REGULARITY OF ORDER BOUNDED OPERATORS INTO C(K)
• The Characterization of a Lattice Homomorphism