Yingbin Ruan

collaborators

3 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}…

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

Quantifying shrinking and boundedly complete bases

Quantifying properties (K) and (μs)

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

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