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math.OA2026
The solution to Kadison's problem on orthonormal bases of unitaries for type factors
Yixin He, Quanyu Tang, Zongben Xu +1
In 1967, Kadison asked whether every type factor admits an orthonormal basis, with respect to its trace, consisting of unitaries. We resolve this problem in full ge…
math.OA2026
The separable case of Kadison's problem on orthonormal bases of unitaries for type factors
Yixin He, Quanyu Tang, Teng Zhang
In 1967, Kadison asked ``does every type factor have an orthonormal (with respect to the trace) basis consisting of unitaries?'' Using a noncommutative Lyapunov the…