Author

Qi Liu

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Preprint Sep 2026

Von Neumann-Jordan Constants in Banach Tensor Products

We investigate the von Neumann--Jordan constant of Banach tensor products equipped with the injective and projective tensor norms. We first establish lower estimates in terms of the geometric properties of the factor spaces and show that, whenever both factors are infinite-dimensional, the von Neumann--Jordan constants...

Wen-Wen Zhang, Ying Xu, Qi Liu et al. · 0 citations

Preprint Oct 2026

On Surjective Max-Phase Isometries of Schatten p-Classes (0

We investigate max-phase isometries on Schatten quasi-classes in the range $0<p<1$. Motivated by the rigidity theory for smooth normed spaces [\emph{Results Math.} \textbf{80} (2025), Article 126], we establish its operator-theoretic counterpart in the quasi-Banach setting. We prove that every surjective max-phase isom...

Wen-Wen Zhang, Qi Liu · 0 citations

Preprint Sep 2026

The Operator Daugavet Property in Semifinite Noncommutative $L_1$-Spaces

Let $\mathcal M$ be a diffuse semifinite von Neumann algebra endowed with a faithful normal semifinite trace $\tau$. We prove that, for every nonzero Banach space $Y$, the projective tensor product $L_1(\mathcal M,\tau)\widehat{\otimes}_{\pi}Y$ has the operator Daugavet property. Moreover, the witnessing operators may...

Jun-Xiang Qi, Qi Liu, Yong-Jin Li · 0 citations