Cauchy-Binet type formulas for Fredholm operators

• Autorzy: Ciecierska G.

Identyfikatory

DOI

10.17512/jamcm.2017.2.04

• Języki publikacji: EN

Abstrakty

EN

Suppose A ∈ L(Y ,Z ) , B ∈ L(X ,Y ) are Fredholm operators acting in linear spaces. By referring to the correspondence between Fredholm operators and their determinant systems, we derive the formulas for a determinant system for AB which are expressed via determinant systems for A and B. In our approach, applying results of the theory of determinant systems plays the crucial role and yields Cauchy-Binet type formulas. The formulas are utilized in many branches of applied science and engineering.

Słowa kluczowe

EN

Fredholm operator; determinant system; reflexive generalized inverse; Cauchy-Binet theorem

PL

operator Fredholma; twierdzenie Cauchy'ego-Bineta; system wyznacznikowy; uogólniona odwrotność operatora

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2017
• Tom: Vol. 16, nr 2
• Strony: 43--54
• Opis fizyczny: Bibliogr. 22 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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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).