On closeness of the sum of n subspaces of a Hilbert space

We give necessary and sufficient conditions for the sum of subspaces H 1 ,…, H n , n  ≥ 2, of a Hilbert space H to be a subspace and present various properties of the n -tuples of subspaces with closed sum.

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Bibliographic Details
Published in:Ukrainian mathematical journal 2012-03, Vol.63 (10), p.1566-1622
Main Author: Feshchenko, I. S.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
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Description
Summary:We give necessary and sufficient conditions for the sum of subspaces H 1 ,…, H n , n  ≥ 2, of a Hilbert space H to be a subspace and present various properties of the n -tuples of subspaces with closed sum.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-012-0601-9