Lei Li

activity

20132023

most citedTransformations preserving the norm of means between positive cones of general and commutative

C^{*}

-algebras

5 citations · 14 across the 16 of their papers we have counts for

collaborators

Showing 2016Show all

7 papers · 1 filter

math.FA2016

Separably injective $C_{σ}$ -spaces

Cho-Ho Chu, Lei Li

We show that a (complex) $C_{σ}$ -space is separably injective if and only if it is linearly isometric to the Banach space $C_{0} (Ω)$ of complex continuous functions vanishing at infini…

math.FA2016

On a Question of Bouras concerning weak compactness of almost Dunford-Pettis sets

Jin Xi Chen, Lei Li

We give a positive answer to the question of K. Bouras [`Almost Dunford-Pettis sets in Banach lattices', \textit{Rend. Circ. Mat. Palermo (2)} \textbf{ 62} (2013), 227--236] concer…

math.FA2016

Quantifications of strictly singular operators and strictly cosingular operators

Lei Li, Dongyang Chen

We investigate possible quantifications of strictly singular operators, $l_{p}$ -strictly singular operators, $c_{0}$ -strictly singular operators, strictly cosingular operators, $l_…

math.FA2016★ 1 cited

Pełczyński's property ( $V^{*}$ ) of order $p$ and its quantification

Lei Li, Dongyang Chen, J. Alejandro Chávez-Domínguez

We introduce the concepts of Pełczyński's property ( $V$ ) of order $p$ and Pełczyński's property ( $V^{*}$ ) of order $p$ . It is proved that, for each $1 < p < \infty$ , the James $p$ -spac…

math.FA2016★ 4 cited

Unconditionally $p$ -converging operators and Dunford-Pettis Property of order $p$

Dongyang Chen, J. Alejandro Chávez-Domínguez, Lei Li

In the present paper we study unconditionally $p$ -converging operators and Dunford-Pettis property of order $p$ . New characterizations of unconditionally $p$ -converging operators a…

math.OA2016

Geometric implications of the M(r,s)-properties and the uniform Kadec-Klee property in JB*-triples

Lei Li, Eduardo Nieto, Antonio M. Peralta

We explore new implications of the $M (r, s)$ and $M^{*} (r, s)$ properties for Banach spaces. We show that a Banach space $X$ satisfying property $M (1, s)$ for some $0 < s \leq 1$ , admittin…

Separably injective Cσ​-spaces

On a Question of Bouras concerning weak compactness of almost Dunford-Pettis sets

Quantifications of strictly singular operators and strictly cosingular operators

Pełczyński's property (V∗) of order p and its quantification

Unconditionally p-converging operators and Dunford-Pettis Property of order p

Geometric implications of the M(r,s)-properties and the uniform Kadec-Klee property in JB*-triples

Separably injective $C_{σ}$ -spaces

Pełczyński's property ( $V^{*}$ ) of order $p$ and its quantification

Unconditionally $p$ -converging operators and Dunford-Pettis Property of order $p$