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Algebraic Sum of Unbounded Normal Operators and the Square Root Problem of Kato

Functional Analysis 2007-05-23 v1

Abstract

We prove that the algebraic sum of unbounded normal operators satisfies the square root problem of Kato under appropriate hypotheses. As application, we consider perturbed Schrodinger operators.

Keywords

Cite

@article{arxiv.math/0305204,
  title  = {Algebraic Sum of Unbounded Normal Operators and the Square Root Problem of Kato},
  author = {Toka Diagana},
  journal= {arXiv preprint arXiv:math/0305204},
  year   = {2007}
}

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9 pages