Open Access
Original Articles
On the Definition of a-Uniformly Nonsquare and a Generalized Gao Constant
Hongliang ZuoDepartment of MathematicsHenan Normal UniversityAddress, Henan, 453007, P. R. ChinaView full profile → , Gang Sunsungod1221@sina.comDepartment of MathematicsHenan Normal UniversityHenan, 453007, P. R. ChinaView full profile → , Min YangDepartment of MathematicsHenan Normal UniversityAddress, Henan, 453007, P. R. ChinaView full profile →
* Corresponding author · click or hover a name for details
- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2008.10698553
- Pages:
- 149–159
Abstract
We introduce a generalized concept of uniformly nonsquare which of course contains usual uniformly nonsquare, and a generalized Gao constant E(a, X). We give the relations between this definition and some generalized constants, including C(a, X), J (a, X), and E(a, X). We also give some properties of the generalized Gao constant E(a, X). Finally, we compute E(a, H) for Hilbert space and give some examples.
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