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- Title
On Some Skew Constants in Banach Spaces.
- Authors
Yuankang Fu; Zhijian Yang; Yongjin Li; Qi Liu
- Abstract
We introduce the constants E[t, X], CNJ[X] and J[t, X] to describe the asymmetry of the norm. They can be seen as the skew version of the Gao’s parameter, von Neumann-Jordan constant and Milman’s moduli, respectively. We establish basic properties of these constants, relating them other well known constants, and use these properties to calculate the constants for specific spaces. We then use these constants to study Hilbert spaces, uniformly non-square spaces and their normal structures. With the Banach-Mazur distance, we use them to study isomorphic Banach spaces.
- Subjects
BANACH spaces; HILBERT space; TRIANGULAR norms
- Publication
Kyungpook Mathematical Journal, 2023, Vol 63, Issue 2, p199
- ISSN
1225-6951
- Publication type
Article
- DOI
10.5666/KMJ.2023.63.2.199