Resumen de Complex interpolation of weighted noncommutative Lp-spaces

Eric Ricard, Quanhua Xu

• et M be a semifinite von Neumann algebra equipped with a semifinite normal faithful trace t. Let d be an injective positive measurable operator with respect to (M,t) such that d-1 is also measurable. Define Lp(d)={x in L0(M) | dx+xd in Lp(d)(M)} and ||x||Lp(d)=||dx+xd||p.

  We show that for 1=p0