Junxiang Qi

collaborators

5 papers

math.OA2026

The Operator Daugavet Property in Semifinite Noncommutative $L_{1}$ -Spaces

Junxiang Qi, Qi Liu, Yongjin Li

Let $M$ be a diffuse semifinite von Neumann algebra endowed with a faithful normal semifinite trace $τ$ . We prove that, for every nonzero Banach space $Y$ , the projective…

math.FA2026

Nonembedding of Lorentz sequence spaces into Lorentz function spaces

Junxiang Qi, Qi Liu

Let $0 < p, q < \infty$ with $p \neq = q$ , and suppose that $p < 2$ or $q \leq 1$ . We prove that the Lorentz sequence space $ℓ_{p, q}$ does not isomorphically embed into $L_ {p, q}(0,1…

math.FA2026

Birkhoff-Orthogonal Takahashi-von Neumann-Jordan Type Constants in Banach Spaces

Junxiang Qi, Zhouping Yin, Qi Liu

In this paper, we introduce a new family of geometric constants CtB(X) of Birkhoff-orthogonal Takahashi-von Neumann-Jordan type for real Banach spaces. We discuss their basic prope…

math.FA2026

A weighted Birkhoff orthogonal James-type constant

Junxiang Qi, Zhouping Yin, Qi Liu +1

Let $X$ be a real Banach space and $λ \in [0, 1]$ . Motivated by orthogonal versions of the James constant, we introduce the weighted Birkhoff orthogonal James-type constant $$J_λ^{\pe…

math.FA2026

Generalized geometric constants related to Birkhoff orthogonality in Banach spaces

Junxiang Qi, Qian Li, Zhouping Yin +4

In this paper, based on Birkhoff orthogonality, we introduce two geometric constants $A_{t}^{B} (X)$ and $\boldsymbol{D}_{\boldsy…

The Operator Daugavet Property in Semifinite Noncommutative L1​-Spaces

Nonembedding of Lorentz sequence spaces into Lorentz function spaces

Birkhoff-Orthogonal Takahashi-von Neumann-Jordan Type Constants in Banach Spaces

A weighted Birkhoff orthogonal James-type constant

Generalized geometric constants related to Birkhoff orthogonality in Banach spaces

The Operator Daugavet Property in Semifinite Noncommutative $L_{1}$ -Spaces