Let $X$ be a Banach (or a Hilbert) space, $T,P\in L(X)$ are bounded linear operators such that $P^{2}=P$ and the operator $TP-PT$ has a finite rank. I want to construct another projection $Q\in L(X)$ (from $P$ and $T$) such that $T$ commute with $Q?$
2026-03-28 22:37:33.1774737453
Commuting Bounded linear projections
32 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in OPERATOR-THEORY
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