Glasnik Matematicki, Vol. 35, No.1 (2000), 59-74.

ON BOUNDED PERTURBATIONS OF OPERATORS OF KLEIN-GORDON TYPE

Peter Jonas

Technische Universitat Berlin, Fachbereich Mathematik, MA 6-4, Strasse des 17. juni 136, D-10623 Berlin, Germany
e-mail: jonas@math.tu-berlin.de


Abstract.   A class of nonnegative selfadjoint operators in a Krein space and bounded perturbations of them of a special form are considered. The perturbed operators, which include operators arising from the perturbed Klein-Gordon equation, are definitizable over a neighbourhood of infinity, but not necessarily definitizable.

1991 Mathematics Subject Classification.   47B50, 47A55.


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