  These lecture notes were written during a mini-course on noncommutative
Lp-spaces at the Basque Center of Applied Mathematics. It starts presenting the
theory of weights and traces in von Neumann algebra, followed by the theory of
noncommutative measure. After that, it presents a construction of these spaces
in all detail and give some important results e.g. the noncommutative
Radon-Nikodym theorem.
