Geodesic
Bounds for the Berezin number of reproducing kernel Hilbert space operators
Filomat, Tome 37 (2023) no. 6, p. 1741

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 find new upper bounds for the Berezin number of the product of bounded linear operators defined on reproducing kernel Hilbert spaces. We also obtain some interesting upper bounds concerning one operator, the upper bounds obtained here refine the existing ones. Further, we develop new lower bounds for the Berezin number concerning one operator by using their Cartesian decomposition. In particular, we prove that ber(A) ≥ 1/ √ 2 ber( ℜ(A) ± ℑ(A)) , where ber(A) is the Berezin number of the bounded linear operator A.
DOI : 10.2298/FIL2306741S
Classification : 47A30;15A60;47A12
Keywords: Berezin symbol, Berezin number, Bounded linear operators, Reproducing kernel Hilbert space 
Anirban Sen; Pintu Bhunia; Kallol Paul. Bounds for the Berezin number of reproducing kernel Hilbert space operators. Filomat, Tome 37 (2023) no. 6, p. 1741 . doi: 10.2298/FIL2306741S
@article{10_2298_FIL2306741S,
     author = {Anirban Sen and Pintu Bhunia and Kallol Paul},
     title = {Bounds for the {Berezin} number of reproducing kernel {Hilbert} space operators},
     journal = {Filomat},
     pages = {1741 },
     year = {2023},
     volume = {37},
     number = {6},
     doi = {10.2298/FIL2306741S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2306741S/}
}
TY  - JOUR
AU  - Anirban Sen
AU  - Pintu Bhunia
AU  - Kallol Paul
TI  - Bounds for the Berezin number of reproducing kernel Hilbert space operators
JO  - Filomat
PY  - 2023
SP  - 1741 
VL  - 37
IS  - 6
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2306741S/
DO  - 10.2298/FIL2306741S
LA  - en
ID  - 10_2298_FIL2306741S
ER  - 
%0 Journal Article
%A Anirban Sen
%A Pintu Bhunia
%A Kallol Paul
%T Bounds for the Berezin number of reproducing kernel Hilbert space operators
%J Filomat
%D 2023
%P 1741 
%V 37
%N 6
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2306741S/
%R 10.2298/FIL2306741S
%G en
%F 10_2298_FIL2306741S

Cité par Sources :