Geodesic
Characterization of Approximate Birkhoff-James Orthogonality Sets in a Banach Space
Journal of convex analysis, Tome 27 (2020) no. 3, pp. 881-892
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

There are two notions of approximate Birkhoff-James orthogonality sets in a Banach space. A geometric study of them has recently been done by D. Sain, K. Paul and A. Mal [On approximate Birkhoff-James orthogonality and normal cones in a normed space, J. Convex Analysis 26 (2019) 341--351]. We here characterize completely one of these sets in terms of normal cones. We obtain a uniqueness criterion between approximate orthogonality sets and normal cones in a Banach space. We also investigate the action of a bounded linear operator on approximate Birkhoff-James orthogonality sets.
Classification : 46B20, 52A10
Mots-clés : Approximate Birkhoff-James orthogonality, normal cone, smoothness, strictly convex space 
@article{JCA_2020_27_3_JCA_2020_27_3_a4,
     author = {J. Sen and A. Mal and K. Paul},
     title = {Characterization of {Approximate} {Birkhoff-James} {Orthogonality} {Sets} in a {Banach} {Space}},
     journal = {Journal of convex analysis},
     pages = {881--892},
     year = {2020},
     volume = {27},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2020_27_3_JCA_2020_27_3_a4/}
}
TY  - JOUR
AU  - J. Sen
AU  - A. Mal
AU  - K. Paul
TI  - Characterization of Approximate Birkhoff-James Orthogonality Sets in a Banach Space
JO  - Journal of convex analysis
PY  - 2020
SP  - 881
EP  - 892
VL  - 27
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JCA_2020_27_3_JCA_2020_27_3_a4/
ID  - JCA_2020_27_3_JCA_2020_27_3_a4
ER  - 
%0 Journal Article
%A J. Sen
%A A. Mal
%A K. Paul
%T Characterization of Approximate Birkhoff-James Orthogonality Sets in a Banach Space
%J Journal of convex analysis
%D 2020
%P 881-892
%V 27
%N 3
%U http://geodesic.mathdoc.fr/item/JCA_2020_27_3_JCA_2020_27_3_a4/
%F JCA_2020_27_3_JCA_2020_27_3_a4
J. Sen; A. Mal; K. Paul. Characterization of Approximate Birkhoff-James Orthogonality Sets in a Banach Space. Journal of convex analysis, Tome 27 (2020) no. 3, pp. 881-892. http://geodesic.mathdoc.fr/item/JCA_2020_27_3_JCA_2020_27_3_a4/