Affiliated operator

Von Neumann algebra

Programming language

Von Neumann architecture

SPHERES

Physics

Surjective function

Pure mathematics

Mathematics

Unit (ring theory)

Astronomy

Algebra over a field

Abelian von Neumann algebra

Mathematics education

Computer science

Extension (predicate logic)

Jordan algebra

Algebra representation

Isometry (Riemannian geometry)

Journal of Mathematical Analysis and Applications

We prove that every surjective isometry between the unit spheres of two von Neumann algebras admits a unique extension to a surjective real linear iso…

On the extension of isometries between the unit spheres of von Neumann algebras