Let $X$ and $Y$ be Banach spaces. Suppose $T: X \rightarrow Y$ is a bounded linear map. What are some sufficient conditions for $T$ to be one-to-one?
2026-03-29 18:31:06.1774809066
When is a linear map between Banach spaces one-to-one?
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One such condition is that the range of $T^*$ is dense in $X^*$.