Relations amongst the distances between $C^{\ast }$-subalgebras and some canonically associated operator algebras

Ved Prakash Gupta, Sumit Kumar

We prove that the Christensen distance (resp., the Kadison-Kastler distance) between two $C^{\ast }$-subalgebras $\mathcal{A}$ and $\mathcal{B}$ of a $C^{\ast }$-algebra $\mathcal{C}$ is equal…