On the James type constant and von Neumann-Jordan constant for a class of Banaś-Fraczieck type spaces
نویسندگان
چکیده
منابع مشابه
On the James Type Constant and Von Neumann–jordan Constant for a Class of Banaś–fra̧czieck Type Spaces
As a generalization of Banaś-Fra̧czieck space, the space Xλ ,p that denotes R 2 endowed with the norm ‖x‖λ ,p = max{λ |x1 |,‖x‖p} for λ > 1 , p 1 and x = (x1,x2) ∈ R2 is well defined. In this note, the exact value of the the James type constants JXλ ,p ,t(1) and von Neumann-Jordan constant CNJ (Xλ ,p) about this space for p 2 are investigated.
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Let λ > 0 , Zp,q denote R2 endowed with the norm |x|p,q = (‖x‖p +λ‖x‖q) 1 2 . Recently, James constant J(Zp,q) and von Neumann-Jordan constant CNJ(Zp,q) have been investigated under the two cases of a space 2 p q ∞ and 1 p q 2 . In this note, we show an inequality on these two constants under the case of 1 p 2 q ∞ . As an application, we give a sufficient condition for the space Zp,q with unifo...
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2016
ISSN: 1846-579X
DOI: 10.7153/jmi-10-43