On subsymmetric bases in Fréchet spaces
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- by Wiesław Śliwa PDF
- Proc. Amer. Math. Soc. 135 (2007), 453-460 Request permission
Abstract:
It is proved that any non-normable Fréchet space with a semi-symmetric absolute basis is isomorphic to the space $\omega$ 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 $\omega$.References
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Additional Information
- Wiesław Śliwa
- Affiliation: Faculty of Mathematics and Computer Science, Adam Mickiewicz University, ul. Umultowska 87, 61-614 Poznań, Poland
- MR Author ID: 325507
- Email: sliwa@amu.edu.pl
- Received by editor(s): October 6, 2004
- Received by editor(s) in revised form: September 6, 2005
- Published electronically: August 8, 2006
- Communicated by: N. Tomczak-Jaegermann
- © Copyright 2006 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 135 (2007), 453-460
- MSC (2000): Primary 46A35
- DOI: https://doi.org/10.1090/S0002-9939-06-08485-1
- MathSciNet review: 2255291