Linear isometries of noncommutative L0$L_0$‐spaces
A. F. BerDepartment of Mathematics National University of Uzbekistan, Vuzgorodok Tashkent UzbekistanJinghao HuangInstitute for Advanced Study in Mathematics of HIT Harbin Institute of Technology Harbin ChinaFedor SukochevSchool of Mathematics and Statistics University of New South Wales Kensington Australia
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Abstract The description of (commutative and noncommutative) ‐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 ‐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.
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