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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Homotopically non-trivial
additive subgroups of Hilbert spaces


Author: Janusz Grabowski
Journal: Proc. Amer. Math. Soc. 127 (1999), 1563-1565
MSC (1991): Primary 46B25, 54F45, 20F26, 22A05
Published electronically: January 29, 1999
MathSciNet review: 1653394
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Abstract: We prove that for a line-free closed additive subgroup of a Hilbert space certain orthogonal projections lead to coverings of this group. This makes it possible to obtain additive subgroups which are homotopically non-trivial.


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Additional Information

Janusz Grabowski
Affiliation: Institute of Mathematics, Warsaw University, ul. Banacha 2, 02-097 Warszawa, Poland
Email: jagrab@mimuw.edu.pl

DOI: http://dx.doi.org/10.1090/S0002-9939-99-05245-4
PII: S 0002-9939(99)05245-4
Received by editor(s): August 1, 1998
Received by editor(s) in revised form: August 28, 1998
Published electronically: January 29, 1999
Additional Notes: Supported by KBN, grant No. 2 PO3A 042 10.
Communicated by: Dale Alspach
Article copyright: © Copyright 1999 American Mathematical Society