Pointwise-generalized-inverses of linear maps between C^*-algebras and JB^*-triples
Pointwise-generalized-inverses of linear maps between C^*-algebras and JB^*-triples
We study pointwise-generalized-inverses of linear maps between C * -algebras.Let Φ and Ψ be linear maps between complex Banach algebras A and B .We say that Ψ is a pointwise-generalized-inverse of Φ if Φ(aba) = Φ(a)Ψ(b)Φ(a), for every a,b ∈ A .The pair (Φ,Ψ) is Jordan-triple multiplicative if Φ is …