Dongyang Chen

collaborators

3 papers

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…

Quantifying shrinking and boundedly complete bases

Quantifying properties (K) and (μs)

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

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

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