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A characterization of inner product spaces related to the skew-angular distance
被引:14
作者
:
Dehghan, H.
论文数:
0
引用数:
0
h-index:
0
机构:
Institute for Advanced Studies in Basic Sciences, Zanjan
Dehghan, H.
机构
:
[1]
Institute for Advanced Studies in Basic Sciences, Zanjan
来源
:
MATHEMATICAL NOTES
|
2013年
/ 93卷
/ 3-4期
关键词
:
triangle inequality;
inner product space;
angular distance;
normed linear space;
skew-angular distance;
INEQUALITY;
D O I
:
10.1134/S0001434613030231
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
A new refinement of the triangle inequality is presented in normed linear spaces. Moreover, a simple characterization of inner product spaces is obtained by using the skew-angular distance.
引用
收藏
页码:556 / 560
页数:5
相关论文
共 5 条
[1]
[Anonymous], T AM MATH SOC
[2]
SIMPLE NORM INEQUALITY
[J].
DUNKL, CF
论文数:
0
引用数:
0
h-index:
0
DUNKL, CF
;
WILLIAMS, KS
论文数:
0
引用数:
0
h-index:
0
WILLIAMS, KS
.
AMERICAN MATHEMATICAL MONTHLY,
1964,
71
(01)
:53
-&
[3]
ON CERTAIN IMPLICATIONS WHICH CHARACTERIZE HILBERT SPACE
[J].
LORCH, ER
论文数:
0
引用数:
0
h-index:
0
LORCH, ER
.
ANNALS OF MATHEMATICS,
1948,
49
(03)
:523
-532
[4]
Simple norm inequalities
[J].
Maligranda, L
论文数:
0
引用数:
0
h-index:
0
机构:
Lulea Univ Technol, Dept Math, SE-97187 Lulea, Sweden
Lulea Univ Technol, Dept Math, SE-97187 Lulea, Sweden
Maligranda, L
.
AMERICAN MATHEMATICAL MONTHLY,
2006,
113
(03)
:256
-260
[5]
SOME REMARKS ON THE TRIANGLE INEQUALITY FOR NORMS
[J].
Maligranda, Lech
论文数:
0
引用数:
0
h-index:
0
机构:
Lulea Univ Technol, Dept Math, SE-97187 Lulea, Sweden
Lulea Univ Technol, Dept Math, SE-97187 Lulea, Sweden
Maligranda, Lech
.
BANACH JOURNAL OF MATHEMATICAL ANALYSIS,
2008,
2
(02)
:31
-41
←
1
→
共 5 条
[1]
[Anonymous], T AM MATH SOC
[2]
SIMPLE NORM INEQUALITY
[J].
DUNKL, CF
论文数:
0
引用数:
0
h-index:
0
DUNKL, CF
;
WILLIAMS, KS
论文数:
0
引用数:
0
h-index:
0
WILLIAMS, KS
.
AMERICAN MATHEMATICAL MONTHLY,
1964,
71
(01)
:53
-&
[3]
ON CERTAIN IMPLICATIONS WHICH CHARACTERIZE HILBERT SPACE
[J].
LORCH, ER
论文数:
0
引用数:
0
h-index:
0
LORCH, ER
.
ANNALS OF MATHEMATICS,
1948,
49
(03)
:523
-532
[4]
Simple norm inequalities
[J].
Maligranda, L
论文数:
0
引用数:
0
h-index:
0
机构:
Lulea Univ Technol, Dept Math, SE-97187 Lulea, Sweden
Lulea Univ Technol, Dept Math, SE-97187 Lulea, Sweden
Maligranda, L
.
AMERICAN MATHEMATICAL MONTHLY,
2006,
113
(03)
:256
-260
[5]
SOME REMARKS ON THE TRIANGLE INEQUALITY FOR NORMS
[J].
Maligranda, Lech
论文数:
0
引用数:
0
h-index:
0
机构:
Lulea Univ Technol, Dept Math, SE-97187 Lulea, Sweden
Lulea Univ Technol, Dept Math, SE-97187 Lulea, Sweden
Maligranda, Lech
.
BANACH JOURNAL OF MATHEMATICAL ANALYSIS,
2008,
2
(02)
:31
-41
←
1
→