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Renorms and topological linear contractions on Hilbert spaces

✍ Scribed by Shih Mauhsiang; Tam Pingkwan; Tan Kok-Keong


Publisher
SP Science China Press
Year
1999
Tongue
English
Weight
603 KB
Volume
42
Category
Article
ISSN
1674-7283

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πŸ“œ SIMILAR VOLUMES


Approximately Linear Functionals on Hilb
✍ Peter Ε emrl πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 147 KB

Let H be a real or complex Hilbert space, and let ) 0. A functional f on H is < Ε½ . Ε½ . Ε½ .< called an -approximately linear functional if f x q y y f x y f y F Ε½< < 5 5 < < 5 5. x q y for all scalars , and all vectors x, y g H. If such a functional f is bounded then there exists a continuous linea