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On separable Banach subspaces |
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| Authors: | Longyun Ding Su Gao |
| Affiliation: | a School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, PR China b Department of Mathematics, PO Box 311430, University of North Texas, Denton, TX 76203, USA |
| Abstract: | We show that any infinite-dimensional Banach (or more generally, Fréchet) space contains linear subspaces of arbitrarily high Borel complexity which admit separable complete norms giving rise to the inherited Borel structure. |
| Keywords: | Separable Banach subspace Borel structure Polish group Polishable subgroup Fré chet space |
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