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Tridiagonal matrix
representations of cyclic self-adjoint operators. II
Joanne Marie Dombrowski |
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Vol. 120 (1985), No. 1, 47–53
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Abstract |
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A bounded cyclic self-adjoint operator C defined on a separable Hilbert space H can be represented as a tridiagonal matrix with respect to the basis generated by the cyclic vector. An operator J can then be defined so that CJ − JC = −2iK where K also has tridiagonal form. If the subdiagonal elements of C converge to a non-zero limit and if K is of trace class then C must have an absolutely continuous part. |
Mathematical Subject Classification 2000
Primary: 47B15
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Milestones
Received: 20 January 1984
Published: 1 November 1985
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Authors |
| Joanne Marie Dombrowski | |
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