Geodesic
Inequalities for sector matrices with negative power
Filomat, Tome 35 (2021) no. 3, p. 845

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 present some inequalities for sector matrices with negative power. Among other results, we prove that if A,B ∈Mn(C) with W(A),W(B) ⊆ Sα, then for any positive unital linear map Φ, it holds ((1 − v)Φ(A) + vΦ(B))r ≤ cos2r(α)((1 − v)Ar + vBr), where v ∈ [0, 1] and r ∈ [−1, 0]. This improves Tan and Xie’s Theorem 2.4 in [22] if setting Φ(X) = X for every X ∈Mn(C) and replacing A by A−1, B by B−1, respectively, and r = −1, which is also a special result of Bedrani, Kittaneh and Sababheh’s Theorem 4.1 in [4]
DOI : 10.2298/FIL2103845G
Classification : 15A45, 15A60
Keywords: Sector matrices, function, positive linear map, Inequality 
Yaxin Gao. Inequalities for sector matrices with negative power. Filomat, Tome 35 (2021) no. 3, p. 845 . doi: 10.2298/FIL2103845G
@article{10_2298_FIL2103845G,
     author = {Yaxin Gao},
     title = {Inequalities for sector matrices with negative power},
     journal = {Filomat},
     pages = {845 },
     year = {2021},
     volume = {35},
     number = {3},
     doi = {10.2298/FIL2103845G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2103845G/}
}
TY  - JOUR
AU  - Yaxin Gao
TI  - Inequalities for sector matrices with negative power
JO  - Filomat
PY  - 2021
SP  - 845 
VL  - 35
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2103845G/
DO  - 10.2298/FIL2103845G
LA  - en
ID  - 10_2298_FIL2103845G
ER  - 
%0 Journal Article
%A Yaxin Gao
%T Inequalities for sector matrices with negative power
%J Filomat
%D 2021
%P 845 
%V 35
%N 3
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2103845G/
%R 10.2298/FIL2103845G
%G en
%F 10_2298_FIL2103845G

Cité par Sources :