If $A$ is a Banach algebra that is isometrically isomorphic to a norm-closed subalgebra of $B(L^p(X,\mu))$ for some $p\in[1,\infty)$ and some measure space $(X,\mu)$, and is also isometrically isomorphic to a norm-closed subalgebra of $B(L^p(Y,\nu))$ for another measure space $(Y,\nu)$, then are the two measure spaces "equivalent" in some way?
2025-01-13 05:58:28.1736747908
Norm-closed subalgebras of $B(L^p(X,\mu))$
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