Positive finiteness-preserving surjective isometries on non-commutative symmetric spaces are projection disjointness preserving, enabling structural descriptions; similar results hold without positivity for strongly symmetric spaces with absolutely continuous norm.
Lamperti, On the isometries of certain function spaces , Pacific J
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Isometries between non-commutative symmetric spaces associated with semi-finite von Neumann algebras
Positive finiteness-preserving surjective isometries on non-commutative symmetric spaces are projection disjointness preserving, enabling structural descriptions; similar results hold without positivity for strongly symmetric spaces with absolutely continuous norm.