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Bounded linear mappings
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Classroom Contents
Hajime Ishihara - The Constructive Hahn Banach Theorem, Revisited
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- 1 Intro
- 2 The Hahn-Banach theorem
- 3 Examples
- 4 Bounded linear mappings
- 5 Normable linear mappings
- 6 Located sets
- 7 Normable linear functionals
- 8 Classical continuous extension theorem
- 9 The constructive separation theorem
- 10 The corollary
- 11 The constructive continuous extension theorem
- 12 Gâteaux differentiable norm
- 13 A constructive corollary
- 14 A constructive continuous extension theorem
- 15 A constructive separation theorem
- 16 Convex and sublinear functions
- 17 Subderivative
- 18 Gâteaux derivative
- 19 Subdifferentiablity and separation theorem
- 20 Classical dominated extension theorem
- 21 Subdifferentiablity and dominated extension theorem
- 22 Gâteaux differentiability of convex functions
- 23 Corollaries
- 24 References