The Hahn-Banach theorem in inductive limit spaces

DOI10.1007/S00025-024-02332-YMaRDI QIDQ6656695

Hichem Mokni

Publication date: 3 January 2025

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

zbMATH Keywords

Hahn-Banach theoreminductive limitC*-algebraoperator systemordered vector spacesspace of germs of holomorphic functionsrepresentative measurepositive forms

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13)

Cites Work

• Unbounded extensions and operator moment problems
• Dense inverse limit rings
• Complete positivity and a quaternionic moment problem
• Positive functionals on some spaces of fractions
• Local operator algebras, fractional positivity and the quantum moment problem
• Extending Continuous Linear Functionals in Convergence Inductive Limit Spaces
• Spaces of fractions and positive functionals
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