Let $H$ be a separable infinite-dimensional Hilbert space and $S$ be the left shift operator. Is there any operator $T$ in $B(H)$ such that $TS=ST$ except $\mathbb{C}\textbf{1}$ or $0$?
2026-04-09 11:37:40.1775734660
Is there any operator on Hilbert space commute with shift operator?
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