Suppose I have $T: V \to W$. Then $T$ defines a map $T': W' \to V'$ that some sources (e.g. Axler) call the dual map of $T$. And $T$ defines a map $T^t: W' \to V'$ that some sources (e.g. Hoffman and Kunze) call the transpose of $T$. My question is: are these synonyms?
2026-03-25 22:30:47.1774477847
Is the transpose of $T$ also the dual map of $T$?
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