Approximately Linear Functionals on Hilb
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Peter ล emrl
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Article
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1998
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Elsevier Science
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English
โ 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