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Hilbert Spaces
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Let $H$ be a Hilbert space. Which of the following is NOT a property of the inner product $\langle \cdot, \cdot \rangle$ on $H$?
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A
It is bounded.
💡 Explanation:
The inner product $\langle \cdot, \cdot \rangle$ on a Hilbert space is not necessarily bounded. However, it is always linear in the first argument, conjugate linear in the second argument, and positive definite.