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Polynomial approximation of continuous functions on linear spaces

✍ Scribed by W. B. Jurkat


Publisher
Springer-Verlag
Year
1960
Tongue
French
Weight
342 KB
Volume
74
Category
Article
ISSN
0025-5874

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Approximately Linear Functionals on Hilb
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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