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, ...

The aim of this paper is to show that there are no piecewise linear maps of type 2∞. For this purpose we use the fact that any piecewise monotone map of type 2∞ has an infinite ω-limit set which is a ...

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 ...