The Hahn-Banach theorem: The life and times
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Publication:1356962
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)
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)
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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
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- 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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