CORRESPONDENCE OF THE EIGENVALUES OF A NON‐SELF‐ADJOINT OPERATOR TO THOSE OF A SELF‐ADJOINT OPERATOR
CORRESPONDENCE OF THE EIGENVALUES OF A NON‐SELF‐ADJOINT OPERATOR TO THOSE OF A SELF‐ADJOINT OPERATOR
We prove that the eigenvalues of a certain highly non-self-adjoint operator that arises in fluid mechanics correspond, up to scaling by a positive constant, to those of a self-adjoint operator with compact resolvent; hence there are infinitely many real eigenvalues which accumulate only at $\pm \infty$. We use this result …