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Regularly ordered Banach spaces and positively convex spaces

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Publication:1072071
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zbMath0587.46059MaRDI QIDQ1072071

Dieter Pumplün

Publication date: 1984

Published in: Results in Mathematics (Search for Journal in Brave)


zbMATH Keywords

Hahn-Banach theoremuniversal algebrasEilenberg-Moore algebrasleft adjointcanonical functorcategory of all regularly ordered Banach spaces and positive linear contractions


Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Categories, functors in functional analysis (46M15) Ordered topological linear spaces, vector lattices (46A40) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15)


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Separated totally convex spaces, Left linear theories -- a generalization of module theory, Convexity theories. IV: Klein-Hilbert parts in convex modules, Epimorphisms of separated totally convex spaces, Unnamed Item, A cogenerator for preseparated superconvex spaces, Absolutely convex modules and Saks spaces, Congruences of convex algebras.



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