A pythagorean approach in Banach spaces

By Ji Gao. 2006

47 citations recorded by the source corpus.

Let be a Banach space and let be the unit sphere of. Parameters,,, and, where and are introduced and studied. The values of these parameters in the spaces and function spaces are estimated. Among the other results, we proved that a Banach space with, or is uniform nonsquare; and a Banach space with, or has uniform normal structure.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/7c8636e7ae7cc659985aa1cc7269cb9d53119236

Citations in the corpus

• Wheeling around von Neumann-Jordan constant in Banach spaces (2008, unknown): “Gao [8, 9, 10].”