Proves that L²(M, τ) for separable diffuse finite von Neumann algebra M admits an orthonormal basis of self-adjoint unitaries, affirming the separable case of Kadison's problem.
Open Problems, Presented at the Fifth Seminar Poland–GDR on Operator Ideals and Geometry of Banach Spaces Georgenthal, October 26 – November 4, 1981
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The separable case of Kadison's problem on orthonormal bases of unitaries for type $\mathrm{II}_1$ factors
Proves that L²(M, τ) for separable diffuse finite von Neumann algebra M admits an orthonormal basis of self-adjoint unitaries, affirming the separable case of Kadison's problem.