- Tytuł:
- Cauchy-Binet type formulas for Fredholm operators
- Autorzy:
- Ciecierska, G.
- Powiązania:
- https://bibliotekanauki.pl/articles/122670.pdf
- Data publikacji:
- 2017
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
Fredholm operator
determinant system
reflexive generalized inverse
Cauchy-Binet theorem
operator Fredholma
twierdzenie Cauchy'ego-Bineta
system wyznacznikowy
uogólniona odwrotność operatora - Opis:
- 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.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 2; 43-54
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł