ABSTRACT. A perturbation theory for nth order differential operators is developed. For certain classes of operators L, necessary and sufficient conditions are obtained for a perturbing operator B to be relatively bounded or relatively compact with respect to L. These perturbation conditions involve explicit integral averages of the coefficients of B. The proofs involve interpolation inequalities. KEY WORDS AND PHRASES. Perturbation theory, differential operators, relatively bounded, relatively compact, integral averages, interpolation inequalities, maximal and minimal operators, essential spectrum, Fredholm index
AbstractA perturbation theorem is proved which enables us to extend the results of J. Schwartz and o...
In this paper we consider small essential spectral radius perturbations of operators with topologica...
Abstract. We oer a perturbation theory for nite ascent and descent prop-erties of bounded operators....
In this thesis we develop a perturbation theory for ordinary differential operators. In the followin...
In this thesis we develop a perturbation theory for ordinary differential operators. In the followin...
We propose a new approach to the spectral theory of perturbed linear operators , in the case of a si...
v2 - a few modifications including a correction of an erroneous sign in the second order term for th...
The qualitative properties of perturbed differential equations are investigated. The analogies of th...
AbstractWe discuss the spectral properties of higher order ordinary differential operators. If the c...
Let A be a selfadjoint operator in a Hilbert space-9. Its rank one perturbations A + r(., co)co, T E...
Jirak M, Wahl M. Relative perturbation bounds with applications to empirical covariance operators. A...
AbstractWe investigate the rate of decay of eigenfunctions of Schrödinger equations using a perturba...
In this paper we consider small essential spectral radius perturbations of operators with topologica...
In this paper we consider small essential spectral radius perturbations of operators with topologica...
In this paper we consider small essential spectral radius perturbations of operators with topologica...
AbstractA perturbation theorem is proved which enables us to extend the results of J. Schwartz and o...
In this paper we consider small essential spectral radius perturbations of operators with topologica...
Abstract. We oer a perturbation theory for nite ascent and descent prop-erties of bounded operators....
In this thesis we develop a perturbation theory for ordinary differential operators. In the followin...
In this thesis we develop a perturbation theory for ordinary differential operators. In the followin...
We propose a new approach to the spectral theory of perturbed linear operators , in the case of a si...
v2 - a few modifications including a correction of an erroneous sign in the second order term for th...
The qualitative properties of perturbed differential equations are investigated. The analogies of th...
AbstractWe discuss the spectral properties of higher order ordinary differential operators. If the c...
Let A be a selfadjoint operator in a Hilbert space-9. Its rank one perturbations A + r(., co)co, T E...
Jirak M, Wahl M. Relative perturbation bounds with applications to empirical covariance operators. A...
AbstractWe investigate the rate of decay of eigenfunctions of Schrödinger equations using a perturba...
In this paper we consider small essential spectral radius perturbations of operators with topologica...
In this paper we consider small essential spectral radius perturbations of operators with topologica...
In this paper we consider small essential spectral radius perturbations of operators with topologica...
AbstractA perturbation theorem is proved which enables us to extend the results of J. Schwartz and o...
In this paper we consider small essential spectral radius perturbations of operators with topologica...
Abstract. We oer a perturbation theory for nite ascent and descent prop-erties of bounded operators....