Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 6

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Fredholm operator

Sortuj według:

Ogranicz wyniki do:

Cauchy-Binet type formulas for Fredholm operators

Ciecierska G.

Journal of Applied Mathematics and Computational Mechanics

2017

Vol. 16, nr 2

43--54

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.

A note on range-kernel uncomplementation

Kubrusly C., Duggal B. P.

Demonstratio Mathematica

2017

Vol. 50, nr 1

252--260

This note exhibits a Banach-space operator such that neither the range nor the kernel is complemented both for the operator and its adjoint.

On some application of algebraic quasinuclei to the determinant theory

Ciecierska G.

Journal of Applied Mathematics and Computational Mechanics

2013

Vol. 12, nr 3

27--38

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.

On some property of the modified power of an algebraic nucleus

Ciecierska G.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2008

Vol. 7, nr 2

15-21

Given two pairs ( Ξ, X), ( Ω, Y), of conjugate linear spaces, we show that the modified power of an algebraic nucleus preserves ( Ω, X) - weak continuity of multilinear functionals. An application of the result in the determinant theory is also considered.

A note on the decomposition of Fredholm operators

Schmoeger C.

Demonstratio Mathematica

2008

Vol. 41, nr 1

151-158

We generalize a result of F. Szigeti concerning the decomposition of Fredholm operators on Banach spaces.

On the existence of positive periodic solutions of a delay logistic equation

Zhao C.-J., Wang K.

Bulletin of the Polish Academy of Sciences. Mathematics

2002

Vol. 50, no 2

155-160

In this paper, we discuss the existence of positive periodic solutions for a delay logistic equation, by using the theory of coincidence degree.