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Complemented subspaces of products of hilbert spaces
Authors:
- Paweł Jan Domański
Abstract
It is proved that every complemented subspace of an arbitrary topological product of (nonnecessarily separable) Hubert spaces is isomorphic to a product of Hubert spaces. A counterexample is given showing that this result cannot be proved by the same direct method as for countable products. © 1990 American Mathematical Society.
- Record ID
- UAMc7a59f36aabd46c8a97c316bde4660ab
- Author
- Journal series
- Proceedings of the American Mathematical Society, ISSN 0002-9939
- Issue year
- 1990
- Vol
- 110
- Pages
- 187-196
- ASJC Classification
- ;
- DOI
- DOI:10.1090/S0002-9939-1990-1000152-2 Opening in a new tab
- Language
- (en) English
- Score (nominal)
- 0
- Score source
- journalList
- Publication indicators
- = 2; : 2014 = 1.093; : 2006 (2 years) = 0.513 - 2007 (5 years) =0.611
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAMc7a59f36aabd46c8a97c316bde4660ab/
- URN
urn:amu-prod:UAMc7a59f36aabd46c8a97c316bde4660ab
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.