| 1. | Qutrits require a Hilbert space of higher dimension, namely H _ 3.
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| 2. | The Hilbert space of physical states is a unitary Hamiltonian be nonnegative.
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| 3. | Other interpretations may instead define the state by the corresponding Hilbert space.
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| 4. | Separable Hilbert space represent quantum propositions and behave as an orthocomplemented lattice.
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| 5. | Even more generally, can be a vector in a complex Hilbert space.
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| 6. | An isometry exists between the Hilbert spaces associated with these two kernels:
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| 7. | The construction may also be extended to Banach spaces and Hilbert spaces.
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| 8. | On a Hilbert space of analytic functions and an associated integral transform.
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| 9. | Every orthonormal basis in a separable Hilbert space is a Schauder basis.
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| 10. | Not all functions of interest are elements of some Hilbert space, say.
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