@misc{10498/31355, year = {2023}, month = {8}, url = {http://hdl.handle.net/10498/31355}, abstract = {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.}, publisher = {Springer}, keywords = {Duality mapping}, keywords = {Probability density operator}, keywords = {Probability density operator}, keywords = {Smooth Banach space}, title = {The adjoint of an operator on a Banach space}, doi = {10.1007/s13348-023-00414-8}, author = {GarcĂ­a Pacheco, Francisco Javier}, }