Weinstein-Aronszajn identity

proper noun

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.

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Meanings

proper nounthe Weinstein-Aronszajn identity
  1. mathematicsAn 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.
Cite this entry
APA

Weinstein-Aronszajn identity. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Weinstein-Aronszajn%20identity

MLA

“Weinstein-Aronszajn identity.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Weinstein-Aronszajn%20identity. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Weinstein-Aronszajn identity,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Weinstein-Aronszajn%20identity.

Source: Weinstein-Aronszajn identity on Wiktionary, CC BY-SA 4.0.