Let $X$ and $Y$ two Banach spaces, and let $T: X \rightarrow Y$ be a closed operator. we known that if $T$ with dense domain in hilbert space $X$, then the domain of $T^{*}$ is also dense in hilbert space $Y^{*}$. Is this result remains true in a Banach space and why, with justification please.
2026-03-25 10:54:23.1774436063
Unbounded operators with dense domain in Banach space.
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