Weighted noncommutative Banach function spaces
Abstract
We review the concept of a weighted noncommutative Banach function space. This concept constitutes a generalisation of the by now well-known theory of noncommutative Banach function spaces associated with a semifinite von Neumann algebra. In this review we remind the reader of the quantum statistical problem which gave birth to this concept, we investigate the extent to which a weighted theory of measurable operators agrees with the standard theory, we explore competing methods for defining such spaces, before finally describing the monotone interpolation theory of such spaces
URI
http://hdl.handle.net/10394/34534https://link.springer.com/chapter/10.1007%2F978-3-030-10850-2_17
https://doi.org/10.1007/978-3-030-10850-2_17