Generalized quadratic operators and perturbations
Mathematica Bohemica (2022)
- Volume: 147, Issue: 1, page 51-63
- ISSN: 0862-7959
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topSouilah, Khalid. "Generalized quadratic operators and perturbations." Mathematica Bohemica 147.1 (2022): 51-63. <http://eudml.org/doc/298224>.
@article{Souilah2022,
abstract = {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.},
author = {Souilah, Khalid},
journal = {Mathematica Bohemica},
keywords = {generalized quadratic operator; perturbation classes problem},
language = {eng},
number = {1},
pages = {51-63},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Generalized quadratic operators and perturbations},
url = {http://eudml.org/doc/298224},
volume = {147},
year = {2022},
}
TY - JOUR
AU - Souilah, Khalid
TI - Generalized quadratic operators and perturbations
JO - Mathematica Bohemica
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 147
IS - 1
SP - 51
EP - 63
AB - 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.
LA - eng
KW - generalized quadratic operator; perturbation classes problem
UR - http://eudml.org/doc/298224
ER -
References
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