The Hahn-Banach theorem: The life and times

DOI10.1016/S0166-8641(96)00142-3zbMath0919.46005WikidataQ56049306 ScholiaQ56049306MaRDI QIDQ1356962

Edward Beckenstein, Lawrence Narici

Publication date: 5 September 1999

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

Hahn-Banach theorem

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) History of functional analysis (46-03)

Related Items (12)

A converse to the Eidelheit theorem in real Hilbert spaces ⋮ The Hahn-Banach theorem: a proof of the equivalence between the analytic and geometric versions ⋮ Convex sets which are intersections of closed balls ⋮ The strength of de Finetti's coherence theorem ⋮ Generic Hahn-Banach results ⋮ On linear functionals and Hahn-Banach theorems for hyperbolic and bicomplex modules ⋮ Order versions of the Hahn-Banach theorem and envelopes. II: Applications to function theory ⋮ Book review of: R. Duda, Pearls from a lost city. The Lvov School of Mathematics ⋮ The Hahn-Banach theorem by disjunction elimination ⋮ Uncomputability and undecidability in economic theory ⋮ An approximate Hahn–Banach theorem for positively homogeneous functions ⋮ TAMING THE INCOMPUTABLE, RECONSTRUCTING THE NONCONSTRUCTIVE AND DECIDING THE UNDECIDABLE IN MATHEMATICAL ECONOMICS

Cites Work

• Hahn-Banach extension properties in linear orthogonality spaces
• The extension property of complex Banach spaces
• Thermodynamics based on the Hahn-Banach theorem: The Clausius inequality
• Der Hahn-Banach-Satz von Rode für unendlichstellige Operationen
• Functional analysis and linear control theory
• A globalization of the Hahn-Banach theorem
• W.A.J. Luxemburg's Beweis des Satzes von Hahn-Banach
• On certain applications of the Hahn-Banach and minimax theorems
• On the extension property of normed spaces over fields with non- Archimedean valuations
• Concrete representation of abstract (M)-spaces. (A characterization of the space of continuous functions.)
• On a theorem by A. E. Taylor
• Uniqueness of Hahn-Banach Extensions and Unique Best Approximation
• On the Constructive Hahn-Banach Theorem
• On ∆-uniform convexity and drop property
• Two applications of the method of construction by ultrapowers to analysis
• A New Proof of the Equivalence of the Hahn-Banach Extension and the Least Upper Bound Properties
• Concerning the Hahn-Banach Theorem
• A generalization of the Hahn-Banach theorem
• The independence of the axiom of choice from the Boolean prime ideal theorem
• Minimal sublinear functionals
• Independence of the prime ideal theorem from the Hahn Banach theorem
• A Theorem of the Hahn-Banach Type for Linear Transformations
• Projections in Normed Linear Spaces
• On the application of Tychonoff's theorem in mathematical proofs
• Banach Spaces with the Extension Property
• A Generalization of the Hahn-Banach Theorem
• On Solution of Partial Differential Equations by the Hahn-Banach Theorem
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