On some application of algebraic quasinuclei to the determinant theory

• Autorzy: Ciecierska G.
• Języki publikacji: EN

Abstrakty

EN

In the paper we apply the modified powers of algebraic quasinuclei to construction of determinant systems for quasinuclear perturbations of Fredholm operators. Given two pairs (Ξ, X), (Ω, Y) of conjugate linear spaces, an algebraic quasinucleus F ∈ an (Ω → Ξ, X → Y) and a determinant system for the Fredholm operator S ∈op(Ω →Ξ, X → Y), we obtain algebraic formulas for terms of a determinant system for S + TF.

Słowa kluczowe

EN

determinant system; Fredholm operator; quasinucleus; quasinuclear operator

PL

operator Fredholma

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2013
• Tom: Vol. 12, nr 3
• Strony: 27--38
• Opis fizyczny: Bibliogr. 12 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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