On complemented subspaces of sums and products of Banach spaces
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- by M. I. Ostrovskii PDF
- Proc. Amer. Math. Soc. 124 (1996), 2005-2012 Request permission
Abstract:
It is proved that there exist complemented subspaces of countable topological products (locally convex direct sums) of Banach spaces which cannot be represented as topological products (locally convex direct sums) of Banach spaces.References
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Additional Information
- M. I. Ostrovskii
- Affiliation: Mathematical Division, Institute for Low Temperature Physics and Engineering, 47 Lenin avenue, 310164 Kharkov, Ukraine
- MR Author ID: 211545
- Email: mostrovskii@ilt.kharkov.ua
- Received by editor(s): October 26, 1993
- Received by editor(s) in revised form: December 1, 1994
- Communicated by: Dale Alspach
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 2005-2012
- MSC (1991): Primary 46A04, 46A13; Secondary 47B99
- DOI: https://doi.org/10.1090/S0002-9939-96-03413-2
- MathSciNet review: 1328368