𝔖 Bobbio Scriptorium
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Linear functional defined on various spaces of continuous functions on R

✍ Scribed by P.L Butzer; W Oberdörster


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
902 KB
Volume
13
Category
Article
ISSN
0021-9045

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Approximately Linear Functionals on Hilb
✍ Peter Šemrl 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 147 KB

Let H be a real or complex Hilbert space, and let ) 0. A functional f on H is < Ž . Ž . Ž .< called an -approximately linear functional if f x q y y f x y f y F Ž< < 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