Abstract
Let A be a symmetric linear operator defined on all of a (possibly degenerate) indefinite inner product space H . Let N be the set of all subspaces of H which are A-invariant, neutral (in the sense of the indefinite scalar product), and finite dimensional. It is shown that members of N which are maximal (with respect to inclusion) all have the same dimension. This is called the “order of neutrality” of A and admits immediate application to self-adjoint operators on a Pontrjagin space.
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