A Comparison Between James and von Neumann–Jordan Constants
In this paper, we compare James and von Neumann–Jordan constants of normed spaces under certain conditions. It is shown that if a normed space with James constant 2 is three- or more dimensional, or is a π / 2 -rotation-invariant two-dimensional space, then its von Neumann–Jordan constant is less th...
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| Veröffentlicht in: | Mediterranean journal of mathematics 2017-08, Vol.14 (4), p.1-13, Article 168 |
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| container_issue | 4 |
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| container_title | Mediterranean journal of mathematics |
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| creator | Komuro, Naoto Mitani, Ken-Ichi Saito, Kichi-Suke Tanaka, Ryotaro Tomizawa, Yukino |
| description | In this paper, we compare James and von Neumann–Jordan constants of normed spaces under certain conditions. It is shown that if a normed space with James constant
2
is three- or more dimensional, or is a
π
/
2
-rotation-invariant two-dimensional space, then its von Neumann–Jordan constant is less than or equal to
4
-
2
2
. |
| doi_str_mv | 10.1007/s00009-017-0968-9 |
| format | Article |
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2
is three- or more dimensional, or is a
π
/
2
-rotation-invariant two-dimensional space, then its von Neumann–Jordan constant is less than or equal to
4
-
2
2
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2
is three- or more dimensional, or is a
π
/
2
-rotation-invariant two-dimensional space, then its von Neumann–Jordan constant is less than or equal to
4
-
2
2
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2
is three- or more dimensional, or is a
π
/
2
-rotation-invariant two-dimensional space, then its von Neumann–Jordan constant is less than or equal to
4
-
2
2
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| subjects | Economic models Expected utility Mathematics Mathematics and Statistics |
| title | A Comparison Between James and von Neumann–Jordan Constants |
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