Let $\mathcal{A}$ be an unbounded operator and let $\mathcal{C}$ be a bounded operator. What we can say about the boundedness of the operator $\mathcal{C}\mathcal{A}$? I look for a textbook about the operator theory.
2026-04-12 03:11:21.1775963481
Composition of bounded and unbounded operator
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You can have $C=0$ in this case $CA=0$ is bounded, or $C=I$, $CA=A$ is unbounded.