A note on J-positive block operator matrices

Aleksey Kostenko

doi:10.1007/s00020-014-2156-7

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arXiv · 1403.2406

A note on J-positive block operator matrices

Aleksey Kostenko

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Abstract

We study basic spectral properties of J-self-adjoint $2\times 2$ block operator matrices. Using the linear resolvent growth condition, we obtain simple necessary conditions for the regularity of the critical point $\infty$. In particular, we present simple examples of operators having the singular critical point $\infty$. Also, we apply our results to the linearized operator arising in the study of soliton type solutions to the nonlinear relativistic Ginzburg-Landau equation.

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Aleksey Kostenko. 2014-03-10. A note on J-positive block operator matrices. https://doi.org/10.1007/s00020-014-2156-7

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