Orthonormal bases of Hilbert spaces

Details Orthonormal bases of Hilbert spaces Orthonormal bases of Hilbert spaces

2009-08-13

arxiv.org/abs/0908.1942v2

Mathematics

Logic

The main result of the note has been known. See Orthonormal bases and quasi-splitting subspaces in pre-Hilbert spaces D. Buhag

Scientific paper

I prove that a Hilbert space has the property that each of its dense (not
necessarily closed) subspaces contains an orthoormal basis if and only if it is
separable.

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