Let $A$ be a bounded linear operator on a complex infinite dimensional Hilbert space $H$. If $A$ possesses this property $AA^{Tr}=A^{Tr}A=I$, where $A^{Tr}$ is the transpose of $A$ with respect to a fixed but arbitrary orthonormal basis of $H$, and $I$ is the identity operator. What do you call an operator $A$ such that $AA^{Tr}=A^{Tr}A=I$?
2026-04-06 19:34:29.1775504069
what is the proper term/terminology for this?
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