2 citations · 2 across the 5 of their papers we have counts for
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Phase-isometries on the unit sphere of
Dongni Tan, Yueli Gao
We say that a map between the unit spheres of two real normed-spaces and is a phase-isometry if it satisfies \begin{eqnarray*} \{\|T(x)+T(y)\|, \|T(…
A property in vector-valued function spaces
Kexin Zhao, Dongni Tan
This paper deals with a property which is equivalent to generalised-lushness for separable spaces. It thus may be seemed as a geometrical property of a Banach space which ensures t…
Phase-isometries on real normed spaces
Xujian Huang, Dongni Tan
We say that a mapping between two real normed spaces is a phase-isometry if it satisfies the functional equation \begin{eqnarray*} \{\|f(x)+f(y)\|, \|f(x)-f(y)…
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…
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…
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…