Isometric dilations of non-commuting finite rank $n$-tuples

Kenneth R. Davidson, David W. Kribs, Miron E. Shpigel

A contractive $n$-tuple $A=(A_1,...,A_n)$ has a minimal joint isometric dilation $S=(S_1,...,S_n)$ where the $S_i$'s are isometries with pairwise orthogonal ranges. This determines…