Let $H$ be a Hilbert space.
Such that we have a linear operator $T$ $$T: H\rightarrow H'$$ such that there exists $C>0$, $\langle Tx,x\rangle_{H,H'}\geq C \|x\|_{H}^2$.
Obviously, $T$ is injective, but why is $T$ surjective ?
2026-04-06 22:40:22.1775515222
A surjective linear operator - Hilbert spaces
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