An Introduction into Fredholm Theory and Generalized Drazin-Riesz Invertible Operators
Zbornik radova, Tome 20 (2022) no. 28, p. 113
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After a brief introduction into classical Fredholm theory we consider Riesz operators, polynomially Riesz operators, generalized Drazin--Riesz invertible operators, as a generalization of Drazin invertible operators, as well as generalized Kato--Riesz decomposition for bounded linear operators on Banach spaces.
Also, some properties of the corresponding spectra are investigated.
Classification :
NN-02, 47A53, 47A10
Keywords: Banach space, semi-Fredholm operators, semi-Browder operators, Riesz operators, Kato operators, semi-Weyl operators, approximate point (surjective) spectrum, essential spectra
Keywords: Banach space, semi-Fredholm operators, semi-Browder operators, Riesz operators, Kato operators, semi-Weyl operators, approximate point (surjective) spectrum, essential spectra
@article{ZR_2022_20_28_a3,
author = {Sne\v{z}ana \v{C}. \v{Z}ivkovi\'c-Zlatanovi\'c},
title = {An {Introduction} into {Fredholm} {Theory} and {Generalized} {Drazin-Riesz} {Invertible} {Operators}},
journal = {Zbornik radova},
pages = {113 },
publisher = {mathdoc},
volume = {20},
number = {28},
year = {2022},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZR_2022_20_28_a3/}
}
Snežana Č. Živković-Zlatanović. An Introduction into Fredholm Theory and Generalized Drazin-Riesz Invertible Operators. Zbornik radova, Tome 20 (2022) no. 28, p. 113 . http://geodesic.mathdoc.fr/item/ZR_2022_20_28_a3/