2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.FA2012
Generalized-Lush Spaces and the Mazur-Ulam Property
Dongni Tan, Xujian Huang, Rui Liu
We introduce a new class of Banach spaces, called generalized-lush spaces (GL-spaces for short), which contains almost-CL-spaces, separable lush spaces (specially, separable -ri…
math.FA2012★ 2 cited
A Note on The Mazur-Ulam Property of Almost-CL-spaces
Dongni Tan, Rui Liu
We introduce the (T)-property, and prove that every Banach space with the (T)-property has the Mazur-Ulam property (briefly MUP). As its immediate applications, we obtain that almo…
math.FA2007
On maps which preserve equality of distance in F-spaces
Dongni Tan
In order to generalize the results of Mazur-Ulam and Vogt, we shall prove that any map T which preserves equality of distance with T(0)=0 between two F-spaces without surjective co…