Weinstein-Aronszajn identity

English

Proper noun

1. Template:Lb An identity stating that if $A$ and $B$ are matrices of size Template:Math and Template:Math respectively (either or both of which may be infinite) then, provided $AB$ (and hence, also $BA$) is of trace class, $\det (I_m+AB)=\det (I_n+BA),$ where $I_k$ is the Template:Math identity matrix.