Bilinear maps on C${}^{\ast }$-algebras that have product property at a compact element

Jorge J. Garcés, Mykola Khrypchenko

We study bounded bilinear maps on a C${}^{\ast }$-algebra $A$ having product property at $c\in A$. This leads us to the question of when a C${}^{\ast }$-algebra is determined by products at $c.$ I…