Isometries and Hermitian Operators on Zygmund spaces

Isometries and Hermitian operators on $\mathcal{B}_0(\triangle, E)$

In this paper we describe the surjective linear isometries on a vector valued little Bloch space with range space a strictly convex and smooth complex Banach space. We also describe the hermitian operators and the generalized bi-circular projections supported by these spaces.

向量值Lipschitz映射空间上的等距与Hermite算子

Isometries and hermitian operators on spaces of vector-valued Lipschitz maps

本文研究了具有和范数的向量值Lipschitz映射空间上的Hermite算子与等距，证明了Hermite算子为广义复合算子，并完整刻画了特定代数上的单位满射复线性等距。

巴拿赫空间的等距群与对偶

The group of isometries of a Banach space and duality

我们构造了一个实巴拿赫空间的例子，它的满射等距群没有一致连续的单参数半群，但它的对偶的满射等距群包含无穷多个一致连续的单参数半群。还示出了关于数值指数、厄米算子和耗散算子的其它例子。

Hermitian operators and isometries on symmetric operator spaces

Let $\mathcal{M}$ be an atomless semifinite von Neumann algebra (or an atomic von Neumann algebra with all atoms having the same trace) acting on a (not necessarily separable) Hilbert space $H$ equipped with a semifinite faithful normal trace $τ$. Let $E(\mathcal{M},τ) $ be a symmetric operator space affiliated with $ \mathcal{M} $, whose norm is order continuous and is not proportional to the Hilbertian norm $\left\|\cdot\right\|_2$ on $L_2(\mathcal{M},τ)$. We obtain general description of all bounded hermitian operators on $E(\mathcal{M},τ)$. This is the first time that the description of he…

离散群的完全Sidon集（新标题：离散群中的完全Sidon集）

Interpolation and Fatou-Zygmund property for completely Sidon subsets of discrete groups (New title: Completely Sidon sets in discrete groups)

本文研究了离散群中的完全Sidon集，证明了其在有限并集下的稳定性，强调了插值性质，并给出了Fatou-Zygmund性质及闭张成空间完全同构的刻画。

满等距映射的刻画：实情形

Characterization of surjective isometries: the real case

该研究刻画了两类空间上的满实线性等距映射形式，确定对应因子的唯一性，还推导了Mityagin问题的交换与非交换等距形式。