| 31. | Suppose is a compact self-adjoint operator on a Hilbert space.
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| 32. | And denotes the Hilbert space of Hilbert Schmidt operators on.
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| 33. | Mathematically, A is a self-adjoint operator on a Hilbert space.
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| 34. | Mathematically, many presentations of the system's Hilbert space can exist.
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| 35. | The given space is assumed to be a Hilbert space.
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| 36. | Wold decomposition characterizes proper isometries acting on a Hilbert space.
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| 37. | Given a measurable family of Hilbert spaces, the direct integral
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| 38. | These do not, technically, belong to the Hilbert space itself.
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| 39. | Let be a bounded self-adjoint operator on a Hilbert space.
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| 40. | This is also unrelated to the notion in Hilbert spaces.
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