Weinstein-Aronszajn identity

English

Etymology

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Proper noun

the Weinstein-Aronszajn identity

1. (mathematics) An identity stating that if $A$ and $B$ are matrices of size m × n and n × m 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 k × k identity matrix.