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• W2218628076 abstract "We investigate complex structures on twisted Hilbert spaces, with special attention paid to the Kalton-Peck $Z_2$ space and to the hyperplane problem. We consider (nontrivial) twisted Hilbert spaces generated by centralizers obtained from an interpolation scale of Kothe function spaces. We show there are always complex structures on the Hilbert space that cannot be extended to the twisted Hilbert space. If, however, the scale is formed by rearrangement invariant Kothe function spaces then there are complex structures on it that can be extended to a complex structure of the twisted Hilbert space. Regarding the hyperplane problem we show that no complex structure on $ell_2$ can be extended to a complex structure on an hyperplane of $Z_2$ containing it." @default.
• W2218628076 created "2016-06-24" @default.
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• W2218628076 date "2015-11-18" @default.
• W2218628076 modified "2023-10-14" @default.
• W2218628076 title "Complex structures on twisted Hilbert spaces" @default.
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