2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68640We prove that for all 1 \le p \le \infty, p not 2, the Lp spaces associated to two von Neumann algebras M,N are isometrically isomorphic if and only if M and N are Jordan *-isomorphic. This follows from a noncommutative Lp Banach-Stone theorem: a specific decomposition for surjective isometries of noncommutative Lp spaces.14 pages, to appear in J. Funct. Anal. A step in the earlier proof was invalid for finite type I algebrasOperator Algebras46L52, 46B04, 47B49text