Dongyang Chen

activity

20132021

p

-converging operators and Dunford-Pettis Property of order

p

4 citations · 5 across the 8 of their papers we have counts for

collaborators

8 papers

math.FA2021

$(1 +)$ -complemented, $(1 +)$ -isomorphic copies of $L_{1}$ in dual Banach spaces

Dongyang Chen, Tomasz Kania, Yingbin Ruan

The present paper contributes to the ongoing programme of quantification of isomorphic Banach space theory focusing on Pełczyński's classical work on dual Banach spaces containing…

math.FA2021

Quantifying shrinking and boundedly complete bases

Dongyang Chen, Tomasz Kania, Yingbin Ruan

We investigate possible quantifications of R. C. James' classical work on bases and reflexivity of Banach spaces. By introducing new quantities measuring how far a basic sequence i…

math.FA2021

Quantifying properties ( $K$ ) and ( $μ^{s}$ )

Dongyang Chen, Tomasz Kania, Yingbin Ruan

A Banach space $X$ has \textit{property $(K)$ }, whenever every weak* null sequence in the dual space admits a convex block subsequence $(f_{n})_{n = 1}^{\infty}$ so that $\langle f_{n}…

math.FA2021

Positively $p$ -nuclear operators, positively $p$ -integral operators and approximation properties

Dongyang Chen, Amar Belacel, Javier Alejandro Chávez-Domínguez

In the present paper, we introduce and investigate a new class of positively $p$ -nuclear operators that are positive analogues of right $p$ -nuclear operators. One of our main resul…

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…

(1+)-complemented, (1+)-isomorphic copies of L1​ in dual Banach spaces

Quantifying shrinking and boundedly complete bases

Quantifying properties (K) and (μs)

Positively p-nuclear operators, positively p-integral operators and approximation properties

Quantifications of strictly singular operators and strictly cosingular operators

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

$(1 +)$ -complemented, $(1 +)$ -isomorphic copies of $L_{1}$ in dual Banach spaces

Quantifying properties ( $K$ ) and ( $μ^{s}$ )

Positively $p$ -nuclear operators, positively $p$ -integral operators and approximation properties

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