Shaanxi Normal University

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20022026

most citedSummary of ChatGPT-Related Research and Perspective Towards the Future of Large Language Models

765 citations

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13 papers · 1 filter

math.FA2025

Weighted theory of Toeplitz operators on the Fock spaces

Jiale Chen

We study the weighted compactness and boundedness of Toeplitz operators on the Fock spaces. Fix $α > 0$ . Let $T_{φ}$ be the Toeplitz operator on the Fock space $F_{α}^{2}$ over $\mathbb{C}…

math.FA2024

Volterra operators between Hardy spaces of vector-valued Dirichlet series

Jiale Chen

Let $2 \leq p < \infty$ and $X$ be a complex infinite-dimensional Banach space. It is proved that if $X$ is $p$ -uniformly PL-convex, then there is no nontrivial bounded Volterra opera…

math.FA2023

$L^{p}$ coarse Baum-Connes conjecture via $C_{0}$ coarse geometry

Hang Wang, Yanru Wang, Jianguo Zhang +1

In this paper, we investigate the $L^{p}$ coarse Baum-Connes conjecture for $p \in [1, \infty)$ via $C_{0}$ coarse structure, which is a refinement of the bounded coarse structure on…

math.FA2020

Star order automorphisms on the poset of type 1 operators

Xinhui Wang, Guoxing Ji

Let $H$ be a complex infinite dimensional Hilbert space and $B (H)$ the algebra of all bounded linear operators on $H$ . The star partial order…

math.FA2019★ 1 cited

The structures and decompositions of symmetries involving idempotents

Yuan Li, Jiaxin Zhang, Nana Wei

Let $H$ be a separable Hilbert space and $P$ be an idempotent on $H .$ We denote by $Γ_{P} = {J : J = J^{*} = J^{- 1} and J P J = I - P}$ and $…

math.FA2018

The minimal and maximal symmetries for $J$ -contractive projections

Yuan Li, Xiaomei Cai, Jiajia Niu +1

In this paper, we firstly character the structures of symmetries $J$ such that a projection $P$ is $J$ -contractive. Then the minimal and maximal elements of the symmetries $J$ with…