  In this paper we analyze a conforming virtual element method to approximate
the eigenfunctions and eigenvalues of the two dimensional Oseen eigenvalue
problem. We consider the classic velocity-pressure formulation which allows us
to consider the divergence-conforming virtual element spaces employed for the
Stokes equations. Under standard assumptions on the meshes we derive a priori
error estimates for the proposed method with the aid of the compact operators
theory. We report some numerical tests to confirm the theoretical results.
