Let $V$ be a Ternary rings of operators(TRO) i.e. closed subspace of $B(H,K)$ such that $xy^*z \in V$ for all $x,y,z \in V$. A subspace $I$ of $V$ is called a left (right)TRO ideal provided $VV^*I \subset I$$(IV^*V \subset V)$.

Sum of closed left and right ideals is closed provided one of the ideal has bounded approximate identity.

I was informed that results on sum of closed TRO ideals is known from some old paper(~1974) of Kirchberg but unfortunately I could not find it. Can someone please help me to trace that paper? Thank you so much.

Kirchberg ternary idealI came across somthing by David P. Blecher where Krichberg is mentioned with "...and, we believe Kirchberg, (although we are not sure if this work is in print)... $\endgroup$