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Weak orthogonality
Anatole Beck and Peter Warren |
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Vol. 41 (1972), No. 1, 1–11
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Abstract |
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Two Hilbert space-valued functions, f and g, are orthogonal iff ∫ t2 < f(ω),g(ω) > μ(dω) = 0, where <,> denotes the inner product of the Hilbert space. This paper concerns an analogous condition for Banach space-valued functions where, in general, no inner product structure is given. |
Mathematical Subject Classification 2000
Primary: 46E30
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Milestones
Received: 13 April 1971
Published: 1 April 1972
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Authors |
| Anatole Beck | |
| Peter Warren | |
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