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On subsymmetric bases in Fréchet spaces |
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| Authors: | Wieslaw Sliwa |
| Affiliation: | Faculty of Mathematics and Computer Science, Adam Mickiewicz University, ul. Umultowska 87, 61-614 Poznan, Poland |
| Abstract: | It is proved that any non-normable Fréchet space with a semi-symmetric absolute basis is isomorphic to the space  of all scalar sequences. A similar result is shown for quasi-homogeneous absolute bases. It is also proved that any nuclear Fréchet space with a semi-subsymmetric basis is isomorphic to  . |
| Keywords: | Symmetric semi-symmetric semi-subsymmetric quasi-homogeneous bases |
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