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• W2019707941 abstract "We study the closure CSO¯ of the set CSO of all complex symmetric operators on a separable, infinite-dimensional, complex Hilbert space. Among other things, we prove that every compact operator in CSO¯ is complex symmetric. Using a construction of Kakutani as motivation, we also describe many properties of weighted shifts in CSO¯CSO. In particular, we show that weighted shifts which demonstrate a type of approximate self-similarity belong to CSO¯CSO. As a byproduct of our treatment of weighted shifts, we explain several ways in which our result on compact operators is optimal." @default.
• W2019707941 created "2016-06-24" @default.
• W2019707941 creator A5086016562 @default.
• W2019707941 creator A5089582982 @default.
• W2019707941 date "2013-02-01" @default.
• W2019707941 modified "2023-09-25" @default.
• W2019707941 title "On the closure of the complex symmetric operators: Compact operators and weighted shifts" @default.
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• W2019707941 doi "https://doi.org/10.1016/j.jfa.2012.11.009" @default.
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