Results 51 to 60 of about 1,313,453 (353)
Operators with hermitian resolvent
Advances in Mathematics, 1987 AbstractWe propose a definition of self-adjoint unbounded linear operators on Banach spaces. A classical result of Glazman is shown to hold for such operators. An application of the extended Glazman's theorem to spectra of differential operators on Lp(Rn) is given.
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Nonlocal Problems for Fractional Differential Equations via Resolvent Operators
International Journal of Differential Equations, 2013 We discuss the continuity of analytic resolvent in the uniform operator topology and then obtain the compactness of Cauchy operator by means of the analytic resolvent method.
Zhenbin Fan, Gisèle Mophou
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Spectral proper orthogonal decomposition and resolvent analysis of near-wall coherent structures in turbulent pipe flows [PDF]
Journal of Fluid Mechanics, 2020 Direct numerical simulations, performed with a high-order spectral-element method, are used to study coherent structures in turbulent pipe flow at friction Reynolds numbers $Re_{\tau } = 180$ and $550$.
Leandra I. Abreu +4 more
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Resolvent representations for functions of sectorial operators
Advances in Mathematics, 2017 The paper has been accepted for publication in Advances in Mathematics.
Charles J. K. Batty +3 more
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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 ...
Xianfu Wang +2 more
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The basic resolvents of position and momentum operators form a total set in the resolvent algebra [PDF]
arXiv, 2023 Let Q and P be the position and momentum operators of a particle in one dimension. It is shown that all compact operators can be approximated in norm by linear combinations of the basic resolvents (aQ + bP - i r)^{-1} for real constants a,b,r=/=0. This implies that the basic resolvents form a total set (norm dense span) in the C*-algebra R generated by
arxiv
LEVEL SETS OF THE RESOLVENT NORM OF A LINEAR OPERATOR REVISITED [PDF]
, 2014 It is proved that the resolvent norm of an operator with a compact resolvent on a Banach space $X$ cannot be constant on an open set if the underlying space or its dual is complex strictly convex.
E. Brian Davies, E. Shargorodsky
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Data-driven resolvent analysis [PDF]
Journal of Fluid Mechanics, 2020 Resolvent analysis identifies the most responsive forcings and most receptive states of a dynamical system, in an input–output sense, based on its governing equations.
Benjamín Herrmann +4 more
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Spectral analysis of discontinuous Sturm-Liouville operators with Herglotzs transmission
Electronic Research Archive, 2023 In this paper, we study the spectral properties of the Sturm-Liouville operator with eigenparameter-dependent boundary conditions and transmission conditions.
Gaofeng Du, Chenghua Gao, Jingjing Wang
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Relaxed resolvent operator for solving a variational inclusion problem
, 2016 In this paper, we introduce a new resolvent operator and we call it relaxed resolvent operator. We prove that relaxed resolvent operator is single-valued and Lipschitz continuous and finally we appropriate the solution of a variational inclusion problem ...
Iqbal Ahmad, Mijanur Rahaman, R. Ahmad
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