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Complemented subspaces of products of Banach spaces
Author(s):
Alex
Chigogidze
Journal:
Proc. Amer. Math. Soc.
129
(2001),
2959-2963.
MSC (1991):
Primary 46A03, 46M10;
Secondary 46A13
Posted:
March 29, 2001
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Abstract:
We show that complemented subspaces of uncountable products of Banach spaces are products of complemented subspaces of countable subproducts.
References:
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-spaces and injective locally convex spaces, Diss. Math. 298 (1990), 1-76. MR 91j:46002 - 3.
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Additional Information:
Alex
Chigogidze
Affiliation:
Department of Mathematics and Statistics, University of Saskatchewan, McLean Hall, 106 Wiggins Road, Saskatoon, Saskatchewan, Canada S7N 5E6
Email:
chigogid@math.usask.ca
DOI:
10.1090/S0002-9939-01-06054-3
PII:
S 0002-9939(01)06054-3
Keywords:
Injective space,
complemented subspace
Received by editor(s):
February 16, 2000
Posted:
March 29, 2001
Additional Notes:
The author was partially supported by an NSERC research grant.
Communicated by:
Nicole Tomczak-Jaegermann
Copyright of article:
Copyright
2001,
American Mathematical Society
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