Geodesic
Generalized quadratic operators and perturbations
Mathematica Bohemica, Tome 147 (2022) no. 1, pp. 51-63.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We provide a complete description of the perturbation class and the commuting perturbation class of all generalized quadratic bounded operators with respect to a given idempotent bounded operator in the context of complex Banach spaces. Furthermore, we give simple characterizations of the generalized quadraticity of linear combinations of two generalized quadratic bounded operators with respect to a given idempotent bounded operator.
DOI : 10.21136/MB.2021.0010-20
Classification : 47A55, 47B01, 47B99
Keywords: generalized quadratic operator; perturbation classes problem 
@article{10_21136_MB_2021_0010_20,
     author = {Souilah, Khalid},
     title = {Generalized quadratic operators and perturbations},
     journal = {Mathematica Bohemica},
     pages = {51--63},
     publisher = {mathdoc},
     volume = {147},
     number = {1},
     year = {2022},
     doi = {10.21136/MB.2021.0010-20},
     mrnumber = {4387468},
     zbl = {07547241},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0010-20/}
}
TY  - JOUR
AU  - Souilah, Khalid
TI  - Generalized quadratic operators and perturbations
JO  - Mathematica Bohemica
PY  - 2022
SP  - 51
EP  - 63
VL  - 147
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0010-20/
DO  - 10.21136/MB.2021.0010-20
LA  - en
ID  - 10_21136_MB_2021_0010_20
ER  - 
%0 Journal Article
%A Souilah, Khalid
%T Generalized quadratic operators and perturbations
%J Mathematica Bohemica
%D 2022
%P 51-63
%V 147
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0010-20/
%R 10.21136/MB.2021.0010-20
%G en
%F 10_21136_MB_2021_0010_20
Souilah, Khalid. Generalized quadratic operators and perturbations. Mathematica Bohemica, Tome 147 (2022) no. 1, pp. 51-63. doi : 10.21136/MB.2021.0010-20. http://geodesic.mathdoc.fr/articles/10.21136/MB.2021.0010-20/

Cité par Sources :