9 citations · 9 across the 5 of their papers we have counts for
4 papers · 1 filter
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)…
Mappings of preserving -distance one in -normed spaces
Xujian Huang, Dongni Tan
We give a positive answer to the Aleksandrov problem in -normed spaces under the surjectivity assumption. Namely, we show that every surjective mapping preserving -distance o…
On the numerical radius of Lipschitz operators in Banach spaces
Ruidong Wang, Xujian Huang, Dongni Tan
We study the numerical radius of Lipschitz operators on Banach spaces via the Lipschitz numerical index, which is an analogue of the numerical index in Banach space theory. We give…
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…