Remarks on the Structure of Complex Symmetric Operators |
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Authors: | T M Gilbreath Warren R Wogen |
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Institution: | (1) Department of Mathematics, University of North Carolina, 3250, Phillips Hall, Chapel Hill, N.C. 27599, USA |
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Abstract: | A conjugation C is antilinear isometric involution on a complex Hilbert space , and is called complex symmetric if T* = CTC for some conjugation C. We use multiplicity theory to describe all conjugations commuting with a fixed positive operator. We expand upon a result
of Garcia and Putinar to provide a factorization of complex symmetric operators which is based on the polar decomposition.
This paper is based in part on the first author’s Master’s Project. |
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Keywords: | Complex symmetric operator factorization conjugation |
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