Jordan-Von Neumann constant for Banaś-Frączek space
نویسندگان
چکیده
منابع مشابه
Jordan-von Neumann Constant for Banaś-fra̧czek Space
For any λ ≥ 1, Rλ is Banaś-Fra̧czek space, the exact value of the Jordan–von Neumann constant CNJ(Rλ) is investigated. By careful calculations, CNJ(Rλ) = 2− 1 λ2 is given.
متن کاملAN INEQUALITY ON JORDAN–VON NEUMANN CONSTANT AND JAMES CONSTANT ON Zp,q SPACE
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...
متن کاملOn 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.
متن کاملOn Estimates of the Generalized Jordan-von Neumann Constant of Banach Spaces
In this paper, we study the generalized Jordan-von Neumann constant and obtain its estimates for the normal structure coefficient N(X), improving the known results of S. Dhompongsa.
متن کاملThe James and von Neumann-Jordan type constants and uniform normal structure in Banach spaces
Recently, Takahashi has introduced the James and von Neumann-Jordan type constants. In this paper, we present some sufficient conditions for uniform normal structure and therefore the fixed point property of a Banach space in terms of the James and von Neumann-Jordan type constants and the Ptolemy constant. Our main results of the paper significantly generalize and improve many known results in...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Banach Journal of Mathematical Analysis
سال: 2014
ISSN: 1735-8787
DOI: 10.15352/bjma/1396640062