%0 Journal Article 
%A García Pacheco, Francisco Javier
%T The adjoint of an operator on a Banach space
%D 2023
%@ 0010-0757
%U http://hdl.handle.net/10498/31355
%X Self-adjoint operators in smooth Banach spaces have been already defined in recent works. Here, we extend the concept of adjoint of an operator to the scope of (non-necessarily Hilbert) Banach spaces, obtaining in particular the notion of self-adjoint operator in the non-smooth case. As a consequence, we define the probability density operator on Banach spaces and verify most of its well-known properties.
%K Duality mapping
%K Probability density operator
%K Probability density operator
%K Smooth Banach space
%~ Universidad de Cádiz