Let p be an odd prime number, and let E be an elliptic curve defined over a number field which has good reduction at every prime above p. Under suitable assumptions, we prove that the η-eigenspace and the
$$\overline \eta $$
-eigenspace of mixed signed Selmer group of the elliptic curve are pseudo-isomorphic. As a corollary, we show that the η-eigenspace is trivial if and only if the
$$\overline \eta $$
-eigenspace is trivial. Our results can be thought as a reflection principle which relates an Iwasawa module in a given...
