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Abstract An operator on Hilbert space is complex symmetric if it can be represented as a symmetric matrix relative to some orthonormal basis of the space. It is proved in… Click to show full abstract
Abstract An operator on Hilbert space is complex symmetric if it can be represented as a symmetric matrix relative to some orthonormal basis of the space. It is proved in this paper that each complex symmetric operator on a complex separable Hilbert space has a compact perturbation being complex symmetric and satisfying Weyl's theorem, where the compact can be chosen with arbitrarily small norm.
Keywords:
weyl theorem;
theorem complex;
symmetric operators;
symmetric;
complex symmetric;
space
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
Link to full text (if available)
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recommendations!