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Published in:
1996 | Supplement | Chapter
Hilbert Spaces
Author : S. S. Kutateladze
Published in: Fundamentals of Functional Analysis
Publisher: Springer Netherlands
Included in: Professional Book Archive
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Let H be a vector space over a basic field ??. A mapping f: H2 → ?? is a hermitian from on H provided that(1)the mapping f(·, y) : x ↦ f(x, y) belongs to H# for every y in Y;(2)f(x, y) = f(y, x)* for all x, y ∈ H, where λ ↦ λ* is the natural involution in ??; that is, the taking of the complex conjugate of a complex number.