Marina Chugunova, Department of Mathematics. University of Toronto, Toronto, Ontario M5S 2E4 Canada; email: chugunom@math.toronto.edu

Vladimir Strauss, Department of Mathematics, Universidad Simon Bolıvar, Caracas 1080, Venezuela; email: str@usb.ve

Abstract/Résumé:

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

On montre qu’un certain opérateur non autoadjoint admet une factorisation et, on utilise cette représentation pour construire explicitement son domaine. On montre aussi que cet opérateur est J-autoadjoint dans un espace de Krein.

Keywords: J-self-adjoint, Krein space, backward-forward heat equation, factorization, fluid mechanics

AMS Subject Classification: Operators belonging to operator ideals (nuclear; $p$-summing; in the Schatten-von Neumann classes; etc.) 47B10

PDF(click to download): Factorization of an indefinite convection-diffusion operator