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math.OA2026
Sharp tangent inequalities in noncommutative -spaces
Zongben Xu, Teng Zhang
Let be a von Neumann algebra equipped with a faithful normal semifinite weight, and let denote the associated Haagerup noncommutative -space.…
math.OA2026
The nonseparable case of Kadison's problem on orthonormal bases of unitaries for type factors
Yixin He, Quanyu Tang, Zongben Xu +1
In 1967, Kadison asked ``does every type factor have an orthonormal (with respect to the trace) basis consisting of unitaries?''In a previous paper \cite{HTZ26}, He…
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…