Eine Existenzausgabe für asymptotisch lineare Störungen eines Fredholmoperators mit Index 0.
Erratum to "Stability of the index of a linear relation under compact perturbations" (Studia Math. 180 (2007), 95-102)
We give a corrected version of the main result from the paper cited in the title. We obtain necessary and sufficient conditions for the stability of the topological index of an open linear relation under compact perturbations
Essential descent spectrum and commuting compact perturbations.
Essential spectra of quasisimilar -quasihyponormal operators.
Étude d'une fonction remarquable associée aux moyennes de convolution
Dans cet article nous étudions la série génératrice des poids alternés d’une moyenne de convolution induite par un processus de diffusion. Nous montrons que celle-ci est une fonction méromorphe, naturellement liée à un certain opérateur compact. Cette fonction est simplement égale à , lorsque le déterminant de Fredholm de cet opérateur existe, et nous la précisons dans les autres cas.
Every nilpotent operator fails to determine the complete norm topology.
Examples of infinite dimensional isoparametric submanifolds.
Extended Weyl type theorems
An operator acting on a Banach space possesses property if where is the approximate point spectrum of , is the essential semi-B-Fredholm spectrum of and is the set of all isolated eigenvalues of In this paper we introduce and study two new properties and in connection with Weyl type theorems, which are analogous respectively to Browder’s theorem and generalized Browder’s theorem. Among other, we prove that if is a bounded linear operator acting on a Banach space , then...
Extremal perturbations of semi-Fredholm operators
Let T be a bounded operator on an infinite-dimensional Banach space X and Ω a compact subset of the semi-Fredholm domain of T. We construct a finite rank perturbation F such that min[dim N(T+F-λ), codim R(T+F-λ)] = 0 for all λ ∈ Ω, and which is extremal in the sense that F² = 0 and rank F = max{min[dim N(T-λ), codim R(T-λ)] : λ ∈ Ω.
Fredholm determinants
The article provides with a down to earth exposition of the Fredholm theory with applications to Brownian motion and KdV equation.
Fredholm linear operators associated with ordinary differential equations on noncompact intervals.
Fredholm properties of elliptic operators on ℝⁿ [Book]
Fredholm property for a parameter dependent second order operator differential equation.
Fredholm random operators and random subspaces in Banach spaces
Fredholm, Riesz and local spectral theory of multipliers.
Fredholm spectrum and growth of cohomology groups
Let T ∈ L(E)ⁿ be a commuting tuple of bounded linear operators on a complex Banach space E and let be the non-essential spectrum of T. We show that, for each connected component M of the manifold of all smooth points of , there is a number p ∈ 0, ..., n such that, for each point z ∈ M, the dimensions of the cohomology groups grow at least like the sequence with d = dim M.
Fredholm Theories of Mixed Type with Analytic Index Functions.
Fredholm theory and semilinear equations without resonance involving noncompact perturbations. I.
Fredholm theory in Banach algebras
Fredholm theory of holomorphic discs under the perturbation of boundary conditions.