Non-commutative Lorentz spaces associated with a semi-finite von Neumann algebra and applications
Non-commutative Lorentz spaces associated with a semi-finite von Neumann algebra and applications
0. Introduction.The purpose of the note is to announce a construction, basic properties, and certain applications of non-com- mutative Lorentz spaces associated with semi-finite von Neumann algebras.At first, non-increasing rearrangements for measurable operators affiliated with a semi-finite yon Neumann algebra are introduced and basic properties are obtained.Then, based on them, …