| 11. | Let L : V \ to \ mathbb R be a bounded linear operator.
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| 12. | In technical language, integral calculus studies two related linear operators.
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| 13. | Shift operators are examples of linear operators, important for their simplicity and natural occurrence.
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| 14. | Linear operators are ubiquitous in the theory of quantum mechanics.
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| 15. | Therefore, every such linear operator has a non-trivial invariant subspace.
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| 16. | Consider an-dimensional vector space and a linear operator with eigenvalues.
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| 17. | Rather, a bounded linear operator is a locally bounded function.
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| 18. | Equipped with the spectral theorem for compact linear operators, one obtains the following result.
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| 19. | Other such questions are compactness or weak-compactness of linear operators.
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| 20. | Then the adjoint of is the continuous linear operator satisfying
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