Unbounded derivations of von Neumann algebras
Une classification des facteurs de type
Une dualité dans les algèbres de von Neumann
Uniformly continuous functionals on Banach algebras
Unitarily invariant norms related to semi-finite factors
Let ℳ be a semi-finite factor and let 𝓙(ℳ ) be the set of operators T in ℳ such that T = ETE for some finite projection E. We obtain a representation theorem for unitarily invariant norms on 𝓙(ℳ ) in terms of Ky Fan norms. As an application, we prove that the class of unitarily invariant norms on 𝓙(ℳ ) coincides with the class of symmetric gauge norms on a classical abelian algebra, which generalizes von Neumann's classical 1940 result on unitarily invariant norms on Mₙ(ℂ). As another application,...
Unitary equivalence of local algebras in the quasifree representation
Unitary representations of solvable Lie groups