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Jul 11, 2016 at 10:13 comment added M.G. Also, for this particular $A$, we actually have $\mathcal{S}_{A}=\{\frac{\partial}{\partial x}f_1=\frac{\partial}{\partial y}f_2, \frac{\partial}{\partial x}f_2=\frac{\partial}{\partial y}f_1\}$ (as a PDE system). The centralizer of $A$ is the set of matrices for which the diagonal has same entries and the anti-diagonal has same entries.
Jul 11, 2016 at 10:06 comment added Ali Taghavi @July I agree with you on this comment. Because in my question the convergence is meant $C^{0}$-convergent.
Jul 11, 2016 at 9:48 comment added M.G. Why is $\mathcal{S}_{A}$ closed under uniform convergence on compacts?
Jul 11, 2016 at 9:33 history answered Khashayar CC BY-SA 3.0