A Note on J-positive Block Operator Matrices

作者：Kostenko Aleksey^*

来源：Integral Equations and Operator Theory, 2015, 81(1): 113-125.

DOI：10.1007/s00020-014-2156-7

• Block operator matrix
• J-self-adjoint operator
• J-positive operator
• eigenfunction expansion

We study basic spectral properties of -self-adjoint 2 x 2 block operator matrices. Using the linear resolvent growth condition, we obtain simple necessary conditions for the regularity of the critical point a. We apply our results to the linearized operator arising in the study of soliton type solutions to the nonlinear relativistic Ginzburg-Landau equation.

• 出版日期2015-1