Results 91 to 100 of about 462,806 (159)
Index of Fredholm operators [PDF]
Proceedings of the American Mathematical Society, 1973 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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On some application of biorthogonal spline systems to integral equations [PDF]
Opuscula Mathematica, 2005 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
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Advances in Mathematical Physics, 2015 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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On the index of a non-Fredholm model operator [PDF]
, 2016 Let {A(t)}t∈ℝ be a path of self-adjoint Fredholm operators in a Hilbert space H, joining endpoints A± as t → ±∞. Computing the index of the operator DA = ∂/∂t + A acting on L2(ℝ;H), where A denotes the multiplication operator (Af)(t) = A(t) f (t) for f ∈
Levitina, G +7 more
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Linear systems and determinantal random point fields. [PDF]
, 2009 Tracy and Widom showed that fundamentally important kernels in random matrix theory arise from systems of differential equations with rational coefficient.
Blower, Gordon
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Boundary-value problems for nonautonomous nonlinear systems on the half-line
Electronic Journal of Differential Equations, 2011 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
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Bifurcation Results for a Class of Perturbed Fredholm Maps
Fixed Point Theory and Applications, 2008 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
Advances in Mathematics, 2016 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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Perturbation theory of p-adic Fredholm and semi-Fredholm operators [PDF]
, 2004 The main goal of this paper is to prove that Fredholm and semi-Fredholm operators between p-adic (or non-archimedean) Banach spaces, as well as the index of those that are Fredholm, are preserved when they are perturbed by a small operator.
C Perez-Garcia +3 more
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A note on the index of $B$-Fredholm operators [PDF]
, 2004 summary:From Corollary 3.5 in [Berkani, M; Sarih, M.; Studia Math. 148 (2001), 251–257] we know that if $S$, $ T$ are commuting $B$-Fredholm operators acting on a Banach space $X$, then $ST$ is a $B$-Fredholm operator.
Zariouh, Hassan +4 more
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