How can I prove that the operator $$(I+lambda G)$$ is invertible, where $lambda >0$ and $G$ is the Green function of an elliptic operator $A$ in a bounded domain $Omega$?
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How can I prove that the operator $$(I+lambda G)$$ is invertible, where $lambda >0$ and $G$ is the Green function of an elliptic operator $A$ in a bounded domain $Omega$?