Results 21 to 30 of about 519,621 (251)
A New Identity for Resolvents of Operators [PDF]
International Journal of Analysis, 2013 A new identity for resolvents of operators is suggested. We show that in appropriate situations it is more convenient than the Hilbert identity. In particular, we establish a new invertibility condition for perturbed operators as well as new bounds for the spectrum of perturbed operators.
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Mathematics, 2023 We define the notion of a point interaction for general non-self-adjoint elliptic operators in planar domains. We show that such operators can be approximated in a geometric way by cutting out a small cavity around the point, at which the interaction is ...
Denis Ivanovich Borisov
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RESOLVENT ESTIMATES OF THE DIRAC OPERATOR
Analysis, 1995 We shall investigate the asymptotic behavior of the extended resolvent R(s) of the Dirac operator as |s| increases to infinity, where s is a real parameter. It will be shown that the norm of R(s), as a bounded operator between two weighted Hilbert spaces of square integrable functions on the 3-dimensional Euclidean space, stays bounded.
Pladdy, Chris +2 more
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Composition Semigroups on Weighted Bergman Spaces Induced by Doubling Weights
Journal of Mathematics, 2021 We prove that composition semigroups are strongly continuous on weighted Bergman spaces with doubling weights. Point spectra and compact resolvent operators of infinitesimal generators of composition semigroups are characterized.
Fanglei Wu
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Abstract degenerate Volterra inclusions in locally convex spaces
Electronic Journal of Differential Equations, 2023 In this paper, we analyze the abstract degenerate Volterra integro-differential equations in sequentially complete locally convex spaces by using multivalued linear operators and vector-valued Laplace transform.
Marko Kostic
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Some remarks on degenerate hypoelliptic Ornstein-Uhlenbeck operators [PDF]
, 2014 We study degenerate hypoelliptic Ornstein–Uhlenbeck operators in spaces with respect to invariant measures. The purpose of this article is to show how recent results on general quadratic operators apply to the study of degenerate hypoelliptic Ornstein ...
Pavliotis, Grigorios +8 more
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Uniqueness of DRS as the 2 operator resolvent-splitting and impossibility of 3 operator resolvent-splitting [PDF]
Mathematical Programming, 2019 Published in Mathematical Programming (updated version with corrected typo)
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Demonstratio Mathematica, 2018 In this paper, we introduce and study a new system of variational inclusions which is called a system of nonlinear implicit variational inclusion problems with A-monotone and H-monotone operators in semi-inner product spaces.
Kim Jong Kyu, Bhat Muhammad Iqbal
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Minimal Families of Limit Operators
, 2022 We study two abstract scenarios, where an operator family has a certain minimality property. In both scenarios, it is shown that norm, spectrum and resolvent are the same for all family members.
Lindner, Marko
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Resolvent Estimates for Elliptic Quadratic Differential Operators
, 2013 Sharp resolvent bounds for nonselfadjoint semiclassical elliptic quadratic differential operators are established, in the interior of the range of the associated quadratic ...
Hitrik, Michael +4 more
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