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On the quantum and randomized approximation of linear functionals on function spaces

✍ Scribed by Bolesław Kacewicz

Publisher
Springer US
Year
2010
Tongue
English
Weight
194 KB
Volume
10
Category
Article
ISSN
1570-0755

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📜 SIMILAR VOLUMES

Approximately Linear Functionals on Hilb
Approximately Linear Functionals on Hilbert Spaces
✍ 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