| 21. | Groups with the Haagerup property are also uniformly embeddable into a Hilbert space.
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| 22. | He also made a contribution to the theory of reproducing kernel Hilbert space.
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| 23. | An example of self-dual category is the category of Hilbert spaces.
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| 24. | This is simply not true for general operators on Hilbert spaces.
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| 25. | This Hilbert space is essentially uniquely determined by and is constructed by completing.
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| 26. | The generalization to Hilbert spaces is due to Richard Palais and Stephen Smale.
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| 27. | The above spectral theorem holds for real or complex Hilbert spaces.
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| 28. | Hilbert spaces are of crucial importance in the mathematical formulation of quantum mechanics.
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| 29. | The Hilbert space of the composite system is the tensor product
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| 30. | It is a Lie group well represented in Hilbert space.
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