Geodesic
The Dunkl-Williams constant related to the singer orthogonality and red isosceles orthogonality in Banach spaces
Filomat, Tome 37 (2023) no. 17, p. 5601

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, we shall consider two new constants DW S (X) and DW I (X), which are the Dunkl-Williams constant related to the Singer orthogonality and theisosceles orthogonality, respectively. We discuss the relationships between DW S (X) and some geometric properties of Banach spaces, including uniform non-squareness, uniform convexity. Furthermore, an equivalent form of DW S (X) in the symmetric Minkowski planes is given and used to compute the value of DW S ((R 2 , ∥ · ∥ p)), 1 p ∞, and we also give a characterization of the Radon plane with affine regular hexagonal unit sphere in terms of DW S (X). Finally, we establish some estimates for DW I (X) and show that DW I (X) does not necessarily coincide with DW S (X).
DOI : 10.2298/FIL2317601F
Classification : 46B20
Keywords: Dunkl-Williams constant, Singer orthogonality, Isosceles orthogonality, Uniform convexity, Symmetric Minkowski plane 
Yuankang Fu; Huayou Xie; Yongjin Li. The Dunkl-Williams constant related to the singer orthogonality and red isosceles orthogonality in Banach spaces. Filomat, Tome 37 (2023) no. 17, p. 5601 . doi: 10.2298/FIL2317601F
@article{10_2298_FIL2317601F,
     author = {Yuankang Fu and Huayou Xie and Yongjin Li},
     title = {The {Dunkl-Williams} constant related to the singer orthogonality and red isosceles orthogonality in {Banach} spaces},
     journal = {Filomat},
     pages = {5601 },
     year = {2023},
     volume = {37},
     number = {17},
     doi = {10.2298/FIL2317601F},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2317601F/}
}
TY  - JOUR
AU  - Yuankang Fu
AU  - Huayou Xie
AU  - Yongjin Li
TI  - The Dunkl-Williams constant related to the singer orthogonality and red isosceles orthogonality in Banach spaces
JO  - Filomat
PY  - 2023
SP  - 5601 
VL  - 37
IS  - 17
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2317601F/
DO  - 10.2298/FIL2317601F
LA  - en
ID  - 10_2298_FIL2317601F
ER  - 
%0 Journal Article
%A Yuankang Fu
%A Huayou Xie
%A Yongjin Li
%T The Dunkl-Williams constant related to the singer orthogonality and red isosceles orthogonality in Banach spaces
%J Filomat
%D 2023
%P 5601 
%V 37
%N 17
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2317601F/
%R 10.2298/FIL2317601F
%G en
%F 10_2298_FIL2317601F

Cité par Sources :