Results 101 to 110 of about 485,398 (210)
Fredholm composition operators [PDF]
Fredholm composition operators on a variety of Hilbert spaces of analytic functions on domains in C N
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On Semi-Fredholm Operators [PDF]
VIe prove that every semi-Fredholm operator on a.n arbitrary Banach space can be approxima.ted by injective or surjective operators. In the case of a complex separable Hilbert space, we show that the set of semi-Fredholm operators having a fixed index is
FERNANDO GALAZ FONTES
core
A note on the decomposition of Fredholm operators
AbstractWe generalize a result of F. Szigeti concerning the decomposition of Fredholm operators on Banach spaces.
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Index of Fredholm operators [PDF]
Let X, Y, Z be Banach spaces, and let T:X-.Y and S: Y-*Z be Fredholm operators. Let ind(T) denote the index of T. A short proof is given for the identity ind(ST)=ind(S)+ind(T). We give a "one-diagram" proof of the following theorem [3, Theorem 3, p. 121]. The notation of [3] will be used. THEOREM. Let X, Y, Z be Banach spaces, and T: X-?
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Boundary-value problems for nonautonomous nonlinear systems on the half-line
A method is presented for proving the existence of solutions for boundary-value problems on the half line. The problems under study are nonlinear, nonautonomous systems of ODEs with the possibility of some prescribed value at $t=0$ and with the ...
Jason R. Morris
doaj
On some application of biorthogonal spline systems to integral equations [PDF]
We consider an operator \(P_N: L_p(I) \to S_n(\Delta_N)\), such that \(P_Nf=f\) for \(f\in S_n(\Delta_N)\), where \(S_n(\Delta_N)\) is the space of splines of degree \(n\) with respect to a given partition \(\Delta_N\) of the interval \(I\).
Zygmunt Wronicz
doaj
The vector problem of electromagnetic wave diffraction by a system of bodies and infinitely thin screens is considered in a quasi-classical formulation.
Y. G. Smirnov, A. A. Tsupak
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One class of linear Fredholm operator equations of the third kind
In this paper, we are applying a new approach to prove that the solution of thelinear Fredholm operator equation of the third kind is equivalent to the solution of the linearFredholm operator equation of the second kind with a certain ...
Matanova, Kalyskan Bazarbaevna +2 more
core
Bifurcation Results for a Class of Perturbed Fredholm Maps
We prove a global bifurcation result for an equation of the type Lx+λ(h(x)+k(x))=0, where L:E  →  F is a linear Fredholm operator of index zero between Banach spaces, and, given an open subset Ω of E, h,k:Ω×[0,+∞)
Alessandro Calamai, Pierluigi Benevieri
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Interpolation of Fredholm operators
We prove novel results on interpolation of Fredholm operators including an abstract factorization theorem. The main result of this paper provides sufficient conditions on the parameters $θ\in (0,1)$ and $q\in \lbrack 1,\infty ]$ under which an operator $A$ is a Fredholm operator from the real interpolation space $(X_{0},X_{1})_{θ,q}$ to $(Y_{0},Y_{1})_{
Asekritova, I. +2 more
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