Resolvent set of second derivative

167 Views Asked by At

Considering the following operator: $$ A f = f'',\qquad D(A):=\{f\in W^{2,p}(0,1),f'(0)=0\quad and\quad f'(1)=f(1) \} $$ I want to know how can I find its resolvent set, that is $\rho(A)$. Thank you for help