Duanxu Dai

activity

20132017

most citedStability of Banach spaces via nonlinear

ε

-isometries

22 citations · 25 across the 4 of their papers we have counts for

collaborators

4 papers

math.FA2017

Subdifferential representation of convex functions on $X^{*}$

Duanxu Dai

In this paper, we obtain subdifferential representation of a proper $w^{*}$ -lower semicontinous convex function on $X^{*}$ as follows: Let $g$ be a proper convex $w^{*}$ -lower semicontin…

math.FA2014

On Qian's problem for $L_{\infty}$ -spaces

Duanxu Dai

In this paper we devote to study Qian's problem for $L_{\infty}$ -spaces. Firstly, a positive answer to Qian's problem for $C (K)$ -spaces is given by the assumption that $K…

math.FA2013★ 22 cited

Stability of Banach spaces via nonlinear $ε$ -isometries

Duanxu Dai, Yunbai Dong

In this paper, we prove that the existence of an $ε$ -isometry from a separable Banach space $X$ into $Y$ (the James space or a reflexive space) implies the existence of a…

math.FA2013★ 3 cited

Universal stability of Banach spaces for $ε$ -isometries

Lixin Cheng, Duanxu Dai, Yunbai Dong +1

Let $X$ , $Y$ be two real Banach spaces and $ε > 0$ . A standard $ε$ -isometry $f : X \to Y$ is said to be $(α, γ)$ -stable (with respect to $T:L(f)\equiv\overlin…

Subdifferential representation of convex functions on X∗

On Qian's problem for L∞​-spaces

Stability of Banach spaces via nonlinear ε-isometries

Universal stability of Banach spaces for ε-isometries

Subdifferential representation of convex functions on $X^{*}$

On Qian's problem for $L_{\infty}$ -spaces

Stability of Banach spaces via nonlinear $ε$ -isometries

Universal stability of Banach spaces for $ε$ -isometries