Results 21 to 30 of about 907 (263)
On One Method of Studying Spectral Properties of Non-selfadjoint Operators
Abstract and Applied Analysis, 2020 In this paper, we explore a certain class of Non-selfadjoint operators acting on a complex separable Hilbert space. We consider a perturbation of a nonselfadjoint operator by an operator that is also nonselfadjoint.
Maksim V. Kukushkin
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Generalized monotone operators and their averaged resolvents [PDF]
Mathematical Programming, 2020 The correspondence between the monotonicity of a (possibly) set-valued operator and the firm nonexpansiveness of its resolvent is a key ingredient in the convergence analysis of many optimization algorithms. Firmly nonexpansive operators form a proper subclass of the more general - but still pleasant from an algorithmic perspective - class of averaged ...
Heinz H. Bauschke +2 more
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Iterative Methods for Computing the Resolvent of Composed Operators in Hilbert Spaces
Mathematics, 2019 The resolvent is a fundamental concept in studying various operator splitting algorithms. In this paper, we investigate the problem of computing the resolvent of compositions of operators with bounded linear operators.
Yixuan Yang, Yuchao Tang, Chuanxi Zhu
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Integrated Resolvent Operators [PDF]
Journal of Integral Equations and Applications, 1995 Der Autor betrachtet die Integro-Differential-Gleichung \[ u'(t)=Au (t)+\int^t_0 B(t-s) u(s) ds+f(t), \quad t\in [ 0,T ], \quad u(0) =x. \tag{VE} \] Dabei ist \(A\) ein linearer abgeschlossener Operator mit (nicht notwendig dichtem) Definitionsbereich \(D(A)\) in einem Banachraum \(X\), der die Hille-Yoshida-Bedingung erfüllt. Es gibt reelle Konstanten
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(F, G, C)-Resolvent Operator Families and Applications
Mathematics, 2023 In this paper, we introduce and investigate several new classes of (F,G,C)-regularized resolvent operator families subgenerated by multivalued linear operators in locally convex spaces.
Vladimir E. Fedorov, Marko Kostić
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Resonance fluorescence in the resolvent-operator formalism [PDF]
Physical Review A, 2017 The Mollow spectrum for the light scattered by a driven two-level atom is derived in the resolvent operator formalism. The derivation is based on the construction of a master equation from the resolvent operator of the atom-field system. We show that the natural linewidth of the excited atomic level remains essentially unmodified, to a very good level ...
Debierre, V., Harman, Z.
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On some local spectral theory and bounded local resolvent of operator matrices [PDF]
Mathematica Bohemica, 2018 We extend and generalize some results in local spectral theory for upper triangular operator matrices to upper triangular operator matrices with unbounded entries.
Abdelaziz Tajmouati +2 more
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Resolvent Approximations in L2-Norm for Elliptic Operators Acting in a Perforated Space
Современная математика: Фундаментальные направления, 2020 We study homogenization of a second-order elliptic differential operator Aε = - div a(x/ε)∇ acting in an ε-periodically perforated space, where ε is a small parameter. Coefficients of the operator Aε are measurable ε-periodic functions. The simplest case
S. E. Pastukhova
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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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Wronskians, dualities and FZZT-Cardy branes
Nuclear Physics B, 2016 The resolvent operator plays a central role in matrix models. For instance, with utilizing the loop equation, all of the perturbative amplitudes including correlators, the free-energy and those of instanton corrections can be obtained from the spectral ...
Chuan-Tsung Chan +3 more
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