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Abstract An operator T ∈ B ( H ) is complex symmetric if there exists a conjugation C on H so that C T C = T ⁎ . In… Click to show full abstract
Abstract An operator T ∈ B ( H ) is complex symmetric if there exists a conjugation C on H so that C T C = T ⁎ . In this paper, we characterize the complex symmetric Toeplitz operator on the Hardy and Bergman space. In particular, we show that the Toeplitz operator induced by the Berezin transform of a complex symmetric operator on Hardy space is also complex symmetric with the same conjugation. However, we see that this is not true for Bergman space by providing some examples.
Keywords:
symmetric;
hardy bergman;
symmetric toeplitz;
operator;
complex symmetric
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
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Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2020
Link to full text (if available)
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recommendations!