| 21. | This means that the correspondence defines a linear operator between the Banach spaces and.
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| 22. | A common procedure for defining a bounded linear operator between two given whole domain.
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| 23. | The concept of linearity can be extended to linear operators.
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| 24. | The characteristic polynomial of a matrix or linear operator contains information about the operator's eigenvalues.
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| 25. | The sum and the composite of two bounded linear operators is again bounded and linear.
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| 26. | Note also that the operator D is an example of an unbounded linear operator, since
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| 27. | These calculi all have a derivative and / or integral that is not a linear operator.
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| 28. | In a sense, the linear operators are not continuous because the space has " holes ".
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| 29. | This is the generalization to linear operators of the row space, or coimage, of a matrix.
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| 30. | Grothendieck's work on the theory of Banach spaces and continuous linear operators introduced the approximation property.
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