Estimates of the discrete spectrum of a linear operator pencil

作者：Cojuhari P A^*

来源：Journal of Mathematical Analysis and Applications, 2007, 326(2): 1394-1409.

DOI：10.1016/j.jmaa.2006.03.083

• spectral theory
• compact perturbation
• operator ideals
• operator pencils
• transport equation

Based on the direct methods of the perturbation theory, sufficient conditions for the finiteness of the discrete spectrum of linear pencils of the form L(lambda) = B - lambda A, where A and B are bounded self-adjoint operators, are established. An estimate formula for the discrete spectrum is also presented. As applications, we study the spectrum of the characteristic equation of radiation energy transfer.

• 出版日期2007-2-15