The main concepts related to the spectrum of a linear operator are presented, including the resolvent set, and the division of the spectrum into point, continuous and residual spectrum. A number of examples are discussed in detail. General properties of the spectrum are studied, with special ...
The spectrum of an operator introduced by Feshbach in the theory of the optical potential is analysed in the case of a 3-particle system. A conjecture made by Feshbach on the structure of the spectrum 关键词: Theoretical or Mathematical/ composite particles nucleons scattering/ feshbach operator...
Invertibility of multipliers and the spectrum of an operator in spaces with different norms 来自 Semantic Scholar 喜欢 0 阅读量: 19 作者: IY Shneiberg 摘要: Invertibility of multipliers and the spectrum of an operator in spaces with different norms ...
The singular continuous spectrum of the Liouville operator of quantum statistical physics is, in general, properly included in the difference of the spectr... I Antoniou,SA Shkarin,Z Suchanecki - 《Journal of Mathematical Physics》 被引量: 21发表: 1999年 Spectrum of the Schrodinger operator on...
作者: D Borthwick 摘要: This chapter introduces the notion of the spectrum of an operator (possibly unbounded) on a Hilbert space. The theory of the resolvent operator is developed and used to establish basic properties of the spectrum. DOI: 10.1007/978-3-030-38002-1_4 年份: 2020 收藏...
In mathematics, the spectrum of a (finite-dimensional) matrix is the set of its eigenvalues. This notion can be extended to the spectrum of an operator in the infinite-dimensional case. The determinant equals the product of the eigenvalues. Similarly, the trace equals the sum of the ...
3. An operator, in the context of telecommunications, is a company that provides network services to customers. This is distinct from equipment manufacturers such as Huawei, ZTE, Nokia, and Ericsson, which focus on producing communication devices.4. Operators like China Mobile, China ...
As specified in the invitation of the President Profes... MFED Jeu 被引量: 374发表: 1993年 Diagonalization of certain integral operators II We establish an integral representations of a right inverses of the Askey-Wilson finite difference operator in an $L^2$ space weighted by the weight ...
An analytical method for analyzing the oscillations of a linear infinite string supported by a periodic array of nonlinear stiffnesses is developed. The an... VN Pilipchuk,AF Vakakis - 《Journal of Vibration & Acoustics》 被引量: 29发表: 1998年 Second Order Elliptic Differential-Operator Equatio...
We say that a Banach space X satisfies the "descent spectrum equality" (in short, DSE) whenever, for every bounded linear operator T on X, the descent spectrum of T as an operator coincides with the descent spectrum of T as an element of the algebra of all bounded linear operators on ...