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Approximation of differentiable functions on a Hilbert space. III

โœ Scribed by M. P. Heble


Publisher
Springer
Year
1988
Tongue
English
Weight
457 KB
Volume
282
Category
Article
ISSN
0025-5831

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Approximately Linear Functionals on Hilb
โœ Peter ล emrl ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 147 KB

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