On the Aleksandrov problem in linear n-normed spaces

被引：41

作者：

Chu, HY ^{[1
]}

Lee, KH ^{[1
]}

Park, CG ^{[1
]}

机构：

[1] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 59卷 / 07期

基金：

新加坡国家研究基金会;

关键词：

linear n-normed space; n-isometry; n-Lipschitz mapping;

D O I：

10.1016/j.na.2004.07.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：1001 / 1011

页数：11

共 9 条

[1]

ALEKSANDROV A. D., 1970, SOV MATH DOKL, V11, P116

[2]

CHO Y. J., 2001, Theory of 2-inner product spaces

[3] The Aleksandrov problem in linear 2-normed spaces [J].

Chu, HY ;

Park, CG ;

Park, WG .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 289 (02) :666-672

[4] The Aleksandrov problem for unit distance preserving mapping [J].

Ma, YM .

ACTA MATHEMATICA SCIENTIA, 2000, 20 (03) :359-364

[5] ON THE ALEKSANDROV PROBLEM OF CONSERVATIVE DISTANCES [J].

MIELNIK, B ;

RASSIAS, TM .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 116 (04) :1115-1118

[6] Properties of isometric mappings [J].

Rassias, TM .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 235 (01) :108-121

[7] On the A. D. Aleksandrov problem of conservative distances and the Mazur-Ulam theorem [J].

Rassias, TM .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (04) :2597-2608

[8] ON THE MAZUR-ULAM THEOREM AND THE ALEKSANDROV PROBLEM FOR UNIT DISTANCE PRESERVING MAPPINGS [J].

RASSIAS, TM ;

SEMRL, P .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 118 (03) :919-925

[9] Mappings of conservative distances and the Mazur-Ulam theorem [J].

Xiang, SH .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 254 (01) :262-274

← 1 →