On the similarity of a <Emphasis Type="Italic">J</Emphasis>-nonnegative Sturm-Liouville operator to a self-adjoint operator |
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| Authors: | I M Karabash A S Kostenko |
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| Institution: | (1) Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, Donetsk, Russia |
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| Abstract: | In terms of Weyl-Titchmarsh m-functions, we obtain a new necessary condition for an indefinite Sturm-Liouville operator to be similar to a self-adjoint operator. This condition is used to construct examples of J-nonnegative Sturm-Liouville operators with singular critical point zero. |
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| Keywords: | J-nonnegative operator critical point similarity to a self-adjoint operator |
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