Prove that the subset of all nilpotent mappings of $L(U)$ where $U$ is a finite dimensional normed vector space over $\mathbb{R}$ or $\mathbb{C}$ is not an open subset.
Also, does this generalize to any finite dimensional vector space?
2026-03-27 23:48:35.1774655315
Subset of nilpotent mappings of self maps is not open
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