Positive functionals and the axiom of choice

zbMath0554.46007MaRDI QIDQ759962

Norbert Brunner

Publication date: 1984

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1984__72__9_0

zbMATH Keywords

countable multiple choice axiomevery positive linear functional on a Banach lattice is continuous

Mathematics Subject Classification ID

Banach lattices (46B42) Axiom of choice and related propositions (03E25) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Related Items (4)

Spaces of urelements ⋮ Kinna-Wagner selection principles, axioms of choice and multiple choice ⋮ Garnir's dream spaces with Hamel bases ⋮ Three‐space type Hahn‐Banach properties

Cites Work

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• Halbgeordnete lokalkonvexe Vektorräume. II
• Sequential compactness and the axiom of choice
• KATEGORIESÄTZE UND MULTIPLES AUSWAHLAXIOM
• Partially ordered linear topological spaces
• A geometric form of the axiom of choice

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