A generalization of Moore-Penrose inverse

Ponente(s): Slavisa Djordjevic ., Gabriel Kantún Montiel, Erick Salgado Matías

In this talk we discuss a construction of a generalized inverse similar to the Moore-Penrose one. It is well known that the Moore-Penrose inverse gives us the best last-square solution of an equation Ax= b, where A in B(X,Y ), X and Y Hilbert spaces. The existence of Moore-Penrose inverse for an operator in B(X,Y ) is equivalent to closed range condition. The generalized inverse that we introduce in this talk is not restricted only to closed range operators.