- Tytuł:
- An application of Plemelj-Smithies formulas to computing generalized inverses of Fredholm operators
- Autorzy:
- Ciecierska, G.
- Powiązania:
- https://bibliotekanauki.pl/articles/122817.pdf
- Data publikacji:
- 2015
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
Fredholm theory
determinant system
quasinuclear operator
generalized inverse
teoria Fredholma
odwrotność uogólniona - Opis:
- We consider continuous operators S +T in Banach spaces, where S is Fredholm and T is quasinuclear. By referring to the basic result of the Fredholm theory, i.e. to the expression of the resolvent ( I + λT ) −1 of the operator T as a quotient of entire functions of λ , we derive analogous formulas for generalized inverses of operators S +T. We apply the Plemelj-Smithies formulas describing terms of determinant systems for the quasinuclear perturbations of Fredholm operators.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 1; 13-26
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł