The Mazur–Ulam property for commutative von Neumann algebras
نویسندگان
چکیده
منابع مشابه
von Neumann Algebras
For every selfadjoint operator T in the Hilbert space H, f(T) makes sense not only in the obvious case where / is a polynomial but also if / is just measurable, and if fn(x)-+f(x) for all x£R (with (/,) bounded) then fn(T)-+f(T) weakly, i.e. <fn(T)£9i)+<f(T)£9ti)V£9fiCH. Moreover the set {f(T)9 f measurable} is the set of all operators S in H invariant under all unitary transformations of H whi...
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ژورنال
عنوان ژورنال: Linear and Multilinear Algebra
سال: 2018
ISSN: 0308-1087,1563-5139
DOI: 10.1080/03081087.2018.1505823