| 1. | See also Extensions of symmetric operators and unbounded operator.
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| 2. | This form also makes visible that the skew symmetric operator introduces error when the velocity field diverges.
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| 3. | Symmetric operators which are not essentially self-adjoint may still have a canonical self-adjoint extension.
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| 4. | Therefore finding self-adjoint extension for a positive symmetric operator becomes a " matrix completion problem ".
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| 5. | He contributed also to the classical eigenvalue problem for symmetric operators, introducing the method of orthogonal invariants.
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| 6. | The compact symmetric operator " G " then has a countable family of eigenvectors which are complete in.
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| 7. | A symmetric operator has a unique self-adjoint extension if and only if both its deficiency indices are zero.
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| 8. | He established the spectral theory for bounded symmetric operators in a form very much like that now regarded as standard.
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| 9. | In the symmetric case, the closedness requirement poses no obstacles, since it is known that all symmetric operators are closable .)
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| 10. | Such is the case for " non-negative " symmetric operators ( or more generally, operators which are bounded below ).
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