Suchergebnisse - Operator theory General theory of linear operators Spectrum, resolvent. msc

Resolvent set and spectrum of a linear operator von Lorenzi, Alfredo

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A unifying perspective on linear continuum equations prevalent in physics. Part V: resolvents; bounds on their spectrum; and their Stieltjes integral representations when the operator is not selfadjoint von Milton, Graeme W

“… and \({\bf B}({\bf x})\) is an operator that acts locally in real space. Such resolvents arise naturally when one wants to solve any of the large class of linear physical …”
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Weyl-Titchmarsh theory as applied to the singular non-sectorial Schrödinger operator. Conditions for discreteness of the spectrum and compactness of the resolvent von Tumanov, Sergey N.

“… In general case, the operator is non-sectorial, and the numerical range coincides with the entire complex plane …”
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Weil-Titchmarsh theory as applied to the singular non-sectorial Schrödinger operator. Conditions for discreteness of the spectrum and compactness of the resolvent von Tumanov, Sergey N

“… In general case, the operator is non-sectorial, and the numerical range coincides with the entire complex plane …”
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Instability, index theorem, and exponential trichotomy for Linear Hamiltonian PDEs von Lin, Zhiwu, Zeng, Chongchun

“… Consider a general linear Hamiltonian system …”
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Perturbation theory for the approximation of stability spectra by QR methods for sequences of linear operators on a Hilbert space von Badawy, M., Van Vleck, E.

“… Error bounds are obtained in both the integrally separated and non-integrally separated cases that correspond to distinct and multiple eigenvalues, respectively, for a single linear operator …”
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Linear Operators. Part I: General Theory von Civin, Paul

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Telegraphic reviews -- One-Dimensional Linear Singular Integral Equations: General Theory and Applications (Volume II) (Operator Theory: Adv. & Applic., V. 54) by Israel Gohberg and Naum Krupnik von Hanson, Bruce

“… Review …”
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