摘要
For a non-trivial Banach space X, let J（X）,CNj（X）,C（P）NJ（X） respectively stand for the James constant, the yon Neumann-Jordan constant and the generalized yon Neumann-Jordan constant receatly inroduced by Cui et al. In this paper, we discuss the relatioa between the James and the generalized yon Neumann-Jordan constants, and establish an inequality between them： C（P）NJ（X） ≤ J（X） with p 〉 2, which covers the well-known inequality CNJ（X） ≤ J（X）. We also introduce a new constant, from which we establish another inequality that extends a result of Alonso et al.
For a non-trivial Banach space X, let J（X）,CNj（X）,C（P）NJ（X） respectively stand for the James constant, the yon Neumann-Jordan constant and the generalized yon Neumann-Jordan constant receatly inroduced by Cui et al. In this paper, we discuss the relatioa between the James and the generalized yon Neumann-Jordan constants, and establish an inequality between them： C（P）NJ（X） ≤ J（X） with p 〉 2, which covers the well-known inequality CNJ（X） ≤ J（X）. We also introduce a new constant, from which we establish another inequality that extends a result of Alonso et al.
基金
Supported by the National Natural Science Foundation of China(Grant Nos.11271112 and 11201127)
Innovation Scientists and Technicians Troop Construction Projects of He’nan Province(Grant No.114200510011,C20150027)
