Completeness of quasi-normed symmetric operator spaces |
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| Authors: | Fedor Sukochev |
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| Institution: | School of Mathematics and Statistics, University of New South Wales, Sydney, 2052, Australia |
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| Abstract: | We show that (generalized) Calkin correspondence between quasi-normed symmetric sequence spaces and symmetrically quasi-normed ideals of compact operators on an infinite-dimensional Hilbert space preserves completeness. We also establish a semifinite version of this result. |
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| Keywords: | Symmetric operator spaces Quasi-Banach spaces |
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