Geodesic
Numerical radius inequalities for products and sums of semi-Hilbertian space operators
Filomat, Tome 36 (2022) no. 4, p. 1415

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

DOI

New inequalities for the A-numerical radius of the products and sums of operators acting on a semi-Hilbert space, i.e. a space generated by a positive semidefinite operator A, are established. In particular, for every operators T and S which admit A-adjoints, it is proved that ω A (TS) ≤ 1 2 ω A (ST) + 1 4 ∥T∥ A ∥S∥ A + ∥TS∥ A , where ω A (T) and ∥T∥ A denote the A-numerical radius and the A-operator seminorm of an operator T respectively
DOI : 10.2298/FIL2204415B
Classification : 47A12, 46C05, 47A05
Keywords: Positive operator, A-numerical radius, Semi-inner Product, Sum, Product 
Pintu Bhunia; Kais Feki; Kallol Paul. Numerical radius inequalities for products and sums of semi-Hilbertian space operators. Filomat, Tome 36 (2022) no. 4, p. 1415 . doi: 10.2298/FIL2204415B
@article{10_2298_FIL2204415B,
     author = {Pintu Bhunia and Kais Feki and Kallol Paul},
     title = {Numerical radius inequalities for products and sums of {semi-Hilbertian} space operators},
     journal = {Filomat},
     pages = {1415 },
     year = {2022},
     volume = {36},
     number = {4},
     doi = {10.2298/FIL2204415B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2204415B/}
}
TY  - JOUR
AU  - Pintu Bhunia
AU  - Kais Feki
AU  - Kallol Paul
TI  - Numerical radius inequalities for products and sums of semi-Hilbertian space operators
JO  - Filomat
PY  - 2022
SP  - 1415 
VL  - 36
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2204415B/
DO  - 10.2298/FIL2204415B
LA  - en
ID  - 10_2298_FIL2204415B
ER  - 
%0 Journal Article
%A Pintu Bhunia
%A Kais Feki
%A Kallol Paul
%T Numerical radius inequalities for products and sums of semi-Hilbertian space operators
%J Filomat
%D 2022
%P 1415 
%V 36
%N 4
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2204415B/
%R 10.2298/FIL2204415B
%G en
%F 10_2298_FIL2204415B

Cité par Sources :