On the Complex Symmetric and Skew-Symmetric Operators with a Simple Spectrum
In this paper we obtain necessary and sufficient conditions for a linear bounded operator in a Hilbert space H to have a three-diagonal complex symmetric matrix with non-zero elements on the first sub-diagonal in an orthonormal basis in H. It is shown that a set of all such operators is a proper sub...
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Format: | Article |
Language: | English |
Published: |
National Academy of Science of Ukraine
2011-02-01
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Subjects: | |
Online Access: | http://dx.doi.org/10.3842/SIGMA.2011.016 |