Abstract
AbstractWe formulate an abstract result concerning the definitizability of J‐selfadjoint operators which, roughly speaking, differ by at most finitely many dimensions from the orthogonal sum of a J‐selfadjoint operator with finitely many negative squares and a semibounded selfadjoint operator in a Hilbert space. The general perturbation result is applied to a class of singular Sturm–Liouville operators with indefinite weight functions. (© 2009 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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