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editIt is not correct to say that a nilpotent on a finite dimensional space has spectrum {0} thanks to the Jordan form, because this fact is used precisely to prove that there exists a Jordan form. Also, the definition of nilpotent can be given on any normed space, not necessarily a Hilbert one; and is interesting on Banach spaces, too. The bias on Hilbert spaces in not appropriate for a general encyclopedia. This page should be entirely rewritten, but I have no time now. Esagherardo (talk) 11:35, 3 April 2019 (UTC)
- I improved the article as far as I understood. Hbghlyj (talk) 20:07, 21 May 2024 (UTC)