| 31. | The linear operators in quantum mechanics operate on the phase space ( the wave function ).
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| 32. | Let L be a second degree linear operator.
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| 33. | In particular, the basis might consist of the eigenfunctions of some linear operator " L ":
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| 34. | A continuous linear operator maps kernel is closed.
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| 35. | An infinite-dimensional domain may have discontinuous linear operators.
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| 36. | Thus a unitary operator is a bounded linear operator which is both an isometry and a coisometry.
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| 37. | A practical representation of the linear operator in terms of the plain derivative was introduced by Lagrange,
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| 38. | For example, bijective operators preserving the structure of a vector space are precisely the invertible linear operators.
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| 39. | Define a bounded linear operator on by
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| 40. | *When is a compact linear operator from a Banach space to a Banach space, its dual to.
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