| 41. | In particular it states that requiring a bounded linear operator on a complex Hilbert space to satisfy
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| 42. | In mathematical jargon, the derivative is a linear operator which inputs a function and outputs a second function.
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| 43. | These modes are eigenfunctions of a linear operator on a function space, a common construction in functional analysis.
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| 44. | An important object of study in functional analysis are the linear operators defined on Banach and Hilbert spaces.
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| 45. | Consider a continuous linear operator ( for linear operators, continuity is equivalent to being a bounded operator ).
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| 46. | Mathematically, tensors are generalised linear operators-maps.
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| 47. | Define a linear operator as follows:
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| 48. | Consider a continuous linear operator ( for linear operators, continuity is equivalent to being a bounded operator ).
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| 49. | This product appears frequently in linear algebra and applications, such as matrix representations of the same linear operator.
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| 50. | Let \ mathcal { L } denote the class of continuous linear operators acting between two Banach spaces.
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