A Pythagorean approach in Banach spaces

DOI10.1155/JIA/2006/94982zbMath1104.46006WikidataQ59212906 ScholiaQ59212906MaRDI QIDQ2491534

Ji Gao

Publication date: 29 May 2006

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/126885

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20)

Related Items (27)

The generalized Gao's constant of absolute normalized norms in ℝ² ⋮ On some geometric parameters in Banach spaces ⋮ A note on the Banaś modulus of smoothness in the Bynum space ⋮ Some geometric measures of spheres in Banach spaces ⋮ An extension of a simply inequality between von Neumann-Jordan and James constants in Banach spaces ⋮ The pointwise James type constant ⋮ On some geometric constants in Banach spaces ⋮ On James type constants and the normal structure in Banach spaces ⋮ Some properties of James type constant ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Normal structure and the generalized James and Zbăganu constants ⋮ Unnamed Item ⋮ Some properties of Pythagorean modulus ⋮ On the James type constant of \(l_{p}-l_{1}\) ⋮ On the James and von Neumann-Jordan constants in Banach spaces ⋮ On the upper bound of some geometric constants of absolute normalized norms on \(\mathbb R^2\) ⋮ Hölder’s means and absolute normalized norms on R2 ⋮ Tingley's problem on symmetric absolute normalized norms on \(\mathbb R^2\) ⋮ On the Definition ofa-Uniformly Nonsquare and a Generalized Gao Constant ⋮ Some inequalities concerning the James constant in Banach spaces ⋮ James type constants and fixed points for multivalued nonexpansive mappings ⋮ On new moduli related to the generalization of the parallelogram law ⋮ Some modulus and normal structure in Banach space ⋮ On some modifications of \(n\)-th von Neumann-Jordan constant for Banach spaces ⋮ A Note on Pythagorean Approach in Banach Spaces ⋮ Fixed points, normal structure and moduli of semi-UKK, semi-NUC and semi-\(\text{UKK}^\ast\) spaces

Cites Work

• On the modulus of \(u\)-convexity of Ji Gao
• Uniformly non-square Banach spaces
• On two classes of Banach spaces with uniform normal structure
• A class of spaces with weak normal structure
• Normal Structure, Fixed Points and Related Parameters in Banach Spaces
• A Fixed Point Theorem for Mappings which do not Increase Distances
• Uniformly Convex Spaces
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