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math.FA2009
A Mazur-Ulam theorem for Mappings of conservative distance in non-Archimedean -normed spaces
Hahng-Yun Chu, Se-Hyun Ku
In this article, we study the notions of -isometries in non-Archimedean -normed spaces over linear ordered non-Archimedean fields, and prove the Mazur-Ulam theorem in the spa…
math.FA2005★ 2 cited
On the Cauchy--Rassias Inequality and Linear n-Inner Product Preserving Mappings
Choonkil Baak, Hahng-Yun Chu, Mohammad Sal Moslehian
We prove the Cauchy-Rassias stability of linear n-inner product preserving mappings in -inner product Banach spaces. We apply the Cauchy-Rassias inequality that plays an influen…