An application of Plemelj-Smithies formulas to computing generalized inverses of Fredholm operators

• Autorzy: Ciecierska G.

Identyfikatory

DOI

10.17512/jamcm.2015.1.02

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Fredholm theory; determinant system; quasinuclear operator; generalized inverse

PL

teoria Fredholma; odwrotność uogólniona

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2015
• Tom: Vol. 14, nr 1
• Strony: 13--26
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Ciecierska G.

• Faculty of Mathematics and Computer Science, University of Warmia and Mazury in Olsztyn Olsztyn, Poland

Bibliografia

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