Let $T \in \mathcal{L}(X, Y)$, I'm wondering what are the necessary and sufficient conditions that the range of $T$ is dense.
Non-dense means the $\text{Ran}(T)$ is a proper linear subspace of $Y$, right?
2026-04-03 06:52:55.1775199175
When is the range of a bounded linear operator dense
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