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The opening between subspaces of a Hilbert Space

Riksten, P.H. (2010) The opening between subspaces of a Hilbert Space. Bachelor's Thesis, Mathematics.

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Suppose one has two closed linear subspaces. Is their sum also closed? It turns out that it is not necessarily closed. This will be proved in this thesis. In this bachelor thesis, we develop a general way to determine whether M+N is closed. It turns out that the notion of the opening between subspaces is important. The content of this thesis builds further on work done by F.Deutsch, [3], and J.-Ph. Labrousse, [14].

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 07:44
Last Modified: 15 Feb 2018 07:44

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