Dual characterization of order continuity and some applications

DOI10.1007/BF01198629zbMath0632.47032MaRDI QIDQ1095380

Helmut H. Schaefer

Publication date: 1988

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Banach latticesorder continuousRiesz spacesDedeking completedual characterization of order continuityorder bounded linear operator

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators on ordered spaces (47B60) Ordered topological linear spaces, vector lattices (46A40)

Related Items (3)

Extension properties of order continuous functionals and applications to the theory of Banach lattices ⋮ A note on order bounded vector measures ⋮ Surjective isometries of \(L^ 1 \cap L^ \infty [0, \infty )\) and \(L^ 1 + L^ \infty [0, \infty )\)

Cites Work

• Semigroups of linear operators and applications to partial differential equations
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