Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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DISTRIBUTIONAL FRACTIONAL POWERS OF SIMILAR OPERATORS WITH APPLICATIONS TO THE BESSEL OPERATORS

  • Molina, Sandra Monica (Departamento de Matematica-Facultad de Ciencias Exactas y Naturales-Universidad Nacional de Mar del Plata)
  • Received : 2017.11.05
  • Accepted : 2018.02.01
  • Published : 2018.10.31
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Abstract

This paper provides a method to study the nonnegativity of certain linear operators, from other operators with similar spectral properties. If these new operators are formally self-adjoint and nonnegative, we can study the complex powers using an appropriate locally convex space. In this case, the initial operator also will be nonnegative and we will be able to study its powers. In particular, we have applied this method to Bessel-type operators.

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References

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