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On complemented subspaces of sums and products of Banach spaces


Author: M. I. Ostrovskii
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
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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.


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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
Email: mostrovskii@ilt.kharkov.ua

DOI: https://doi.org/10.1090/S0002-9939-96-03413-2
Keywords: Complemented subspace, Banach space, topological product of Banach spaces, locally convex direct sum
Received by editor(s): October 26, 1993
Received by editor(s) in revised form: December 1, 1994
Communicated by: Dale Alspach
Article copyright: © Copyright 1996 American Mathematical Society