scholarly journals The $L_p$ Aleksandrov problem for origin-symmetric polytopes

2019 ◽  
Vol 147 (10) ◽  
pp. 4477-4492 ◽  
Author(s):  
Yiming Zhao
Keyword(s):  
Aleksandrov Problem

The Orlicz Aleksandrov Problem for Orlicz Integral Curvature

2020 ◽  
Author(s):  
Yibin Feng ◽  
Binwu He
Keyword(s):  
Integral Curvature ◽  
Basic Properties ◽  
Aleksandrov Problem ◽  
The Given

Abstract In this paper, the Orlicz integral curvature is introduced, and some of its basic properties are discussed. The Orlicz Aleksandrov problem characterizing the Orlicz integral curvature is posed. The problem is solved in two situations when the given measure is even.

On the Aleksandrov problem in linear -normed spaces

2004 ◽  
Vol 59 (7) ◽  
pp. 1001-1011 ◽  
Author(s):  
Hahng-Yun Chu ◽  
Keonhee Lee ◽  
Chun-Gil Park
Keyword(s):  
Normed Spaces ◽  
Aleksandrov Problem

scholarly journals On the Aleksandrov problem of conservative distances

1992 ◽  
Vol 116 (4) ◽  
pp. 1115-1115 ◽  
Author(s):  
Bogdan Mielnik ◽  
Themistocles M. Rassias
Keyword(s):  
Aleksandrov Problem

Aleksandrov Problem and Mappings which Preserve Distances

2000 ◽  
pp. 297-323
Author(s):  
Shuhuang Xiang
Keyword(s):  
Aleksandrov Problem

Isometry on Linear n-G-quasi Normed Spaces

2017 ◽  
Vol 60 (2) ◽  
pp. 350-363
Author(s):  
Yumei Ma
Keyword(s):  
Normed Space ◽  
Normed Spaces ◽  
Aleksandrov Problem

AbstractThis paper generalizes the Aleksandrov problem: the Mazur-Ulam theoremon n-G-quasi normed spaces. It proves that a one-n-distance preserving mapping is an n-isometry if and only if it has the zero-n-G-quasi preserving property, and two kinds of n-isometries on n-G-quasi normed space are equivalent; we generalize the Benz theorem to n-normed spaces with no restrictions on the dimension of spaces.

scholarly journals The Aleksandrov problem on non-Archimedean normed space

2012 ◽  
Vol 18 (2) ◽  
pp. 135-140
Author(s):  
Danping Wang ◽  
Yubo Liu ◽  
Meimei Song
Keyword(s):  
Normed Space ◽  
Aleksandrov Problem

The $L_p$-Aleksandrov problem for $L_p$-integral curvature

2018 ◽  
Vol 110 (1) ◽  
pp. 1-29 ◽  
Author(s):  
Yong Huang ◽  
Erwin Lutwak ◽  
Deane Yang ◽  
Gaoyong Zhang
Keyword(s):  
Integral Curvature ◽  
Aleksandrov Problem

On the Aleksandrov problem for isometric mappings

2007 ◽  
Vol 1 (1) ◽  
pp. 18-28 ◽  
Author(s):  
Rassias Themistocles
Keyword(s):  
Aleksandrov Problem

On the Aleksandrov problem for mappings preserving fuzzy n-distance in fuzzy n-normed spaces

2019 ◽  
Vol 37 (5) ◽  
pp. 6925-6935
Author(s):  
Hassan Noori Esfahani ◽  
Reza Saadati
Keyword(s):  
Normed Spaces ◽  
Aleksandrov Problem
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