Descloux and Geymonat considered a model problem for a plasma in a toroidal configuration and conjectured that the essential spectrum has an explicitly given band structure. This conjecture was recently proved by Faierman, Mennicken, and Möller by employing an operator matrix representation of the...
Essential Spectrum In subject area: Mathematics The essential spectrum σe(T) of a linear operator T is the set of all λ∈C such that λI − T is not a Fredholm operator3 From: Techniques of Functional Analysis for Differential and Integral Equations, 2017 About this pageSet alert ...
We also construct examples of such operator measures.doi:10.1016/0022-247X(87)90217-4Asuman Güven AksoyElsevier Inc.Journal of Mathematical Analysis & ApplicationsA. G. Aksoy, The radius of the essential spectrum. Journal of Mathematical Analysis and Applications 128 (1987), 101-107. http://...
Totaro, On the spectrum of the transport operator with mixed type boundary conditions, in Atti Congruso, Aimeta, vol. 1 (1986), pp. 393–398 Google Scholar F.E. Browder, On the spectral theory of elliptic differential operators, I. Math. Ann. 142, 22–130 (1961) MathSciNet MATH ...
[SL], and give a full description of theessential spectrum for the linearized Euler operator L in dimension two. We provethat the essential spectrum of the operator is one solid vertical strip symmetricwith respect to the imaginary axis. The width of the strip is determined by themaximal ...
The essential spectrum of the neumann-poincar´e operator on a domain with corners. Archive for Rational Mechanics and Analysis, 223(2):1019-1033, 2017.Karl-Mikael Perfekt and Mihai Putinar. The essential spectrum of the Neumann-Poincar´e operator on a domain with corners. Archive for ...
For a closed densely defned linear operator on a Banach space, there are many ways to defne the essential spectrum and an obvious example is presented in [18, Chapter 11, p. 283], although most o this essential spectrum is the so-called the Schechter essential spectrum. Defnition 1.1. Le...
ON THE NEGATIVE SPECTRUM OF AN ELLIPTIC OPERATOR New estimates are given for the number of points in the negative spectrum for an elliptic operator or arbitrary order. These estimates generalize and refine the well-known results of Rozenblyum, Lieb, Cwikel, the authors, and others. The... ...
For an operator 𝑇 acting from an infinite-dimensional Hilbert space 𝐻 to a normed space 𝑌 we define the upper AMD-number and the lower AMD-number as the upper and the lower limit of the net ( δ (𝑇| 𝐸 )) 𝐸∈𝐹𝐷(𝐻) , with respect
2) Browder spectrum Browder谱 1. An result on the browder spectrum; 关于Browder谱的一个结果 3) left browder spectra 左Browder谱 4) right browder spectra 右Browder谱 5) essential spectrum 本质谱 1. Exploring the structure of the spectrum of Toeplitz operator Tφ on Hardy space H2(Γ),applyi...