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Talk:Invariant subspace problem

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This is an old revision of this page, as edited by Daqu (talk | contribs) at 07:18, 20 June 2008 (Asked whether the problem is equally unknown for *real* Hilbert spaces). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.
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Is "complex" Hilbert space necessary?

The article describes the invariant subspace problem as pertaining to complex Hilbert spaces. But isn't the existence of a non-trivial closed invariant subspace equally unknown for a bounded linear operator on a real Hilbert space? (In fact, I wonder if the two problems might be equivalent.)Daqu (talk) 07:18, 20 June 2008 (UTC)[reply]

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