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2011

Similarity of a Singular Sturm-Liouville Operator with Indefinite Weight

Author:Qiuxia Yang and Wanyi Wang

Abstract:
We consider a singular Sturm-Liouville differential expression with an indefinite weight and present a sufficient condition for similarity of indefinite Sturm-Liouville operators to self-adjoint operators.Using this result, we construct a example of operator and prove that it is similar to a self-adjoint one.