On some modifications of n-th von Neumann–Jordan constant for Banach spaces
On some modifications of n-th von Neumann–Jordan constant for Banach spaces
Abstract We study, among others, upper, lower, upper modified and lower modified n -th von Neumann–Jordan constant and relationships between them. There are characterized uniformly non- $$l_{n}^{1}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msubsup> <mml:mi>l</mml:mi> <mml:mrow> <mml:mi>n</mml:mi> </mml:mrow> <mml:mn>1</mml:mn> </mml:msubsup> </mml:math> Banach spaces in terms of the upper modified n -th von Neumann–Jordan constant. …