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, ...

Let 𝓤 be a unital ★-algebra and δ : 𝓤 → 𝓤 be a linear map behaving like a derivation or an anti-derivation at the following orthogonality conditions on elements of 𝓤: xy = 0, xy★ = 0, xy = yx = 0 ...

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 ...