Linear maps, characterised by their preservation of vector addition and scalar multiplication, facilitate the transition between different spaces while maintaining intrinsic structural properties.

For Banach spaces X and Y, we show that every unital bijective invertibility preserving linear map between L(X) and L(Y) is a Jordan isomorphism. The same conclusion holds for maps between CI + K(X) ...

We introduce the notion of (completely) multi-positive linear maps between C*-algebras, and show that a completely multi-positive linear map induces a representation of a C*-algebra on Hilbert ...