|
| | | | |
| | | |
| Stat |
Members: 3669
Articles: 2'599'751
Articles rated: 2609
16 March 2025 |
|
| | | | |
|
Article overview
| |
|
|
New Moduli for Banach Spaces | | Grigiry Ivanov
; Horst Martini
; | | Date: |
6 Sep 2016 | | Abstract: | Modifying the moduli of supporting convexity and supporting smoothness, we
introduce new moduli for Banach spaces which occur, e.g., as lengths of catheti
of right-angled triangles (defined via so-called quasi-orthogonality). These
triangles have two boundary points of the unit ball of a Banach space as
endpoints of their hypotenuse, and their third vertex lies in a supporting
hyperplane of one of the two other vertices. Among other things it is our goal
to quantify via such triangles the local deviation of the unit sphere from its
supporting hyperplanes. We prove respective Day-Nordlander type results,
involving generalizations of the modulus of convexity and the modulus of
Bana’{s}. | | Source: | arXiv, 1609.1587 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|
REGISTER