Y. Dong

most citedStability of Banach spaces via nonlinear

ε

-isometries

22 citations · 30 across the 3 of their papers we have counts for

collaborators

3 papers

math.OA2021★ 5 cited

Transformations preserving the norm of means between positive cones of general and commutative $C^{*}$ -algebras

Yunbai Dong, Lei Li, Lajos Molnar +1

In this paper, we consider a (nonlinear) transformation $Φ$ of invertible positive elements in $C^{*}$ -algebras which preserves the norm of any of the three fundamental means of posi…

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…

Transformations preserving the norm of means between positive cones of general and commutative C∗-algebras

Stability of Banach spaces via nonlinear ε-isometries

Universal stability of Banach spaces for ε-isometries

Transformations preserving the norm of means between positive cones of general and commutative $C^{*}$ -algebras

Stability of Banach spaces via nonlinear $ε$ -isometries

Universal stability of Banach spaces for $ε$ -isometries