FA ] 1 4 D ec 2 00 0 A KREIN-LIKE FORMULA FOR SINGULAR PERTURBATIONS OF SELF-ADJOINT OPERATORS AND APPLICATIONS

@inproceedings{Posilicano2008FA1,
  title={FA ] 1 4 D ec 2 00 0 A KREIN-LIKE FORMULA FOR SINGULAR PERTURBATIONS OF SELF-ADJOINT OPERATORS AND APPLICATIONS},
  author={Andrea Posilicano},
  year={2008}
}
Given a self-adjoint operator A : D(A) ⊆ H → H and a continuous linear operator τ : D(A) → X with Range τ ′ ∩ H = {0}, X a Banach space, we explicitly construct a family A Θ of self-adjoint operators such that any A Θ coincides with the original A on the kernel of τ . Such a family is obtained by giving a Krĕın-like formula where the role of the deficiency spaces is played by the dual pair (X ,X ); the parameter Θ belongs to the space of symmetric operators from X ′ to X . When X = C one… CONTINUE READING
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References

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Showing 1-10 of 52 references

Posilicano: On the Point Limit of the Pauli-Fierz Model

  • A. D. Noja
  • Ann. Inst. Henri Poincaré,
  • 1999

Posilicano: The Wave Equation with One Point Interaction and the (Linearized) Classical Electrodynamics of a Point Particle

  • A. D. Noja
  • Ann. Inst. Henri Poincaré,
  • 1998
1 Excerpt

Ôta: Schrödinger Operators Perturbed by Operators

  • W. Karwowski, S. V. Koshmanenko
  • Related to Null Sets. Positivity
  • 1998
2 Excerpts

Fractals and Spectra

  • H. Triebel
  • 1997

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