Factorization of the Indefinite Convection-Diffusion Operator

Abstract

We prove that some non-self-adjoint differential operator admits factorization and apply this new representation of the operator to construct explicitly its domain. We also show that this operator is J-self-adjoint in some Krein space.

8 pages

References in corpus (1)

• An Indefinite Convection-Diffusion Operator With Real Spectrum

Cited by in corpus (1)

• On Factorization of a Perturbation of a J-selfadjoint Operator Arising in Fluid Dynamics