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- Title
On a new geometric constant related to the modulus of smoothness of a Banach space.
- Authors
Takahashi, Yasuji; Kato, Mikio
- Abstract
We shall introduce a new geometric constant A( X) of a Banach space X, which is closely related to the modulus of smoothness ρ( τ), and investigate it in relation with the constant A( X) by Baronti et al., the von Neumann-Jordan constant C( X) and the James constant J( X). A sequence of recent results on these constants as well as some other geometric constants will be strengthened and improved.
- Subjects
GEOMETRIC analysis; BANACH spaces; SMOOTHNESS of functions; MATHEMATICAL constants; MATHEMATICAL sequences
- Publication
Acta Mathematica Sinica, 2014, Vol 30, Issue 9, p1526
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-014-2782-7