Linear isometries of noncommutative L0$L_0$‐spaces.

The description of (commutative and noncommutative) Lp$L_p$‐isometries has been studied thoroughly since the seminal work of Banach. In the present paper, we provide a complete description for the limiting case, isometries on noncommutative L0$L_0$‐spaces, which extends the Banach–Stone theorem and Kadison's theorem for isometries of von Neumann algebras. The result is new even in the commutative setting. [ABSTRACT FROM AUTHOR]