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Jan 9, 2023 at 12:46 comment added user473423 You take a partition of unity $(u_i)_{i\in I}$ attached to a chart covering with charts $\phi_i$. Let $M-i$ denote the multiplic ation opertor by $u_i$. Then consider the operators on ${\mathbb R}^n$ given by $s\mapsto \phi_i A(M_i\circ\phi_j^{-1}\circ s)$.
Jan 9, 2023 at 9:22 comment added Igor Khavkine You can find specific references to the version for manifolds in my older answer here.
Jan 9, 2023 at 7:53 history edited Jochen Wengenroth
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Jan 8, 2023 at 20:09 comment added amilton moreira Not understanding what you mean
Jan 8, 2023 at 18:41 comment added user473423 It suffices to show it for ${\mathbb R}^n$ since you can use a partion of unity.
Jan 8, 2023 at 16:11 history asked amilton moreira CC BY-SA 4.0