𝔖 Bobbio Scriptorium
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Hilbert space of symmetric functions on ℓ1

✍ Scribed by O. M. Holubchak


Book ID
118804058
Publisher
Springer US
Year
2012
Tongue
English
Weight
81 KB
Volume
185
Category
Article
ISSN
1573-8795

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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