Suppose $X$ $Y$ are two finite dimensional Hilbert space. Assume $K$: $X\to Y$ is linear.
My question is, in what condition of $K$ that $$(K^{-1})^\ast = (K^\ast)^{-1}?$$
2026-03-28 21:26:47.1774733207
In what condition we have $(K^{-1})^\ast = (K^\ast)^{-1}$?
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$K$ need to be invertible, this is the sufficing and necessary condition.