Factorization by lattice homomorphisms

DOI10.1007/BF01236265zbMath0558.47029MaRDI QIDQ762748

Wolfgang Arendt

Publication date: 1984

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

Full work available at URL: https://eudml.org/doc/173423

zbMATH Keywords

spectral theorypositive linear mappinglattice homomorphisminjective Banach latticesRadon-Nikodym type theorem

Mathematics Subject Classification ID

Banach lattices (46B42) Spectrum, resolvent (47A10) Projective and injective objects in functional analysis (46M10) Linear operators on ordered spaces (47B60)

Related Items (7)

Ando-Choi-Effros liftings for regular maps between Banach lattices ⋮ Factorization theorems of Arendt type for additive monotone mappings. ⋮ Order-bounded operators in vector lattices and in spaces of measurable functions ⋮ The Boolean transfer principle for injective Banach lattices ⋮ Unnamed Item ⋮ r-ASYMPTOTICALLY QUASI-FINITE RANK OPERATORS AND THE SPECTRUM OF MEASURES ⋮ Relative weak compactness of solid hulls in Banach lattices

Cites Work

• On the 0-spektrum of regular operators and the spectrum of measures
• On lattice properties of the composition operator
• Extensions of positive operators between Banach lattices
• Extensions and Liftings of Positive Linear Mappings on Banach Lattices
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