Algebraic structures and linear maps form a cornerstone in modern mathematics, underpinning areas as diverse as abstract algebra and functional analysis. Algebraic structures such as groups, rings, ...

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 ...

In the first part we show that the decomposition of a bounded selfadjoint linear map from a $C^\ast$-algebra into a given von Neumann algebra as a difference of two ...