To do this, we need to study thequotient algebra B(H)/K(H) (called the Calkin algebra), as well as the notion ofFredholm operator and essential spectrum of an operator. These notions are alsowidely used to study problems in global analysis and PDE. Throughout, H will be a Hilbert ...
(2009), The essential spectrum of an operator arising in 2-dimensional magneto-hydrodynamics. Math. Nachr., 282: 422–429. doi: 10.1002/mana.200810745 Author Information 1 School of Mathematics and Statistics, The University of New South Wales, UNSW Sydney, NSW 2052, Australia 2 NWF I – ...
The essential spectrum of an operator arising in 2-dimensional magneto-hydrodynamics Descloux and Geymonat considered a model problem for a plasma in a toroidal configuration and conjectured that the essential spectrum has an explicitly giv... M Faierman,R Mennicken - 《Mathematische Nachrichten》 被...
E´ . Muminov, Spectrum of a model operator in the perturbation theory of the essential spectrum, Theor. Math. Phys. 144 (2005), no. 3, 1344-1352.G. R. Yodgorov and M. E´ . Muminov, Spectrum of a Model Operator in the Perturba- tion Theory of the Essential Spectrum, Theor...
On the essential spectrum of the Laplacian on complete manifolds The author proves two theorems on when the essential spectrum of the Laplace-Beltrami operator on a complete manifold M satisfying a generalized "pole condition" is equal to an interval [c,∞). The condition on M is that it ...
For an operator 𝑇, acting between Hilbert spaces, it is shown that and are respectively the maximal and the minimal elements of the essential spectrum of , and that 𝑇 is AMD-regular if and only if the essential spectrum of |𝑇| consists of a single point. ...
Some operators are not induced by kernels and others that seem to resemble them a great deal are so induced. For pertinent examples, recall the identity operator on L 2(ℝ+) (which is not an integral operator) and the tensor product of th
Essential descent spectrum and commuting compact perturbations Let R(T) denote the range of a bounded linear operator T on a Banach space X and let c n (T)=dim(R(T n )/R(T n+1 )) for n∈. Consider the essential descent... OBH Fredj - OAI 被引量: 19发表: 2007年 SPECTRAL ...
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://...
On the Spectrum of a One-Velocity Transport Operator with Maxwell Boundary Condition Second, it is proved that the essential spectrum of the transport operator is empty and it is pointed out that the dominant eigenvalue of the transport operator exists. Finally, a necessary and sufficient condition...