The James and von Neumann-Jordan type constants and uniform normal structure in Banach spaces
Publish Year: 1396
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAA-8-1_010
تاریخ نمایه سازی: 11 آذر 1401
Abstract:
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 the recent literature.
Keywords:
James type constant , von Neumann-Jordan type constant , Ptolemy constant , Fixed point property , Uniform normal structure
Authors
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Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran