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On the rank one perturbations of the Heisenberg commutation relation and unbounded subnormal operators

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Publication:1587858
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DOI10.1007/BF01192834zbMath0981.47021MaRDI QIDQ1587858

Daoxing Xiao

Publication date: 3 December 2000

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)


zbMATH Keywords

Heisenberg commutation relationunbounded subnormal operatorsunitary invariantsrank one perturbationsminimal reducing manifold


Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Perturbation theory of linear operators (47A55) Linear operators on function spaces (general) (47B38)





Cites Work

  • Unnamed Item
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  • On the almost unperturbed Schrödinger pair of operators
  • Hyponormal operators with finite rank self-commutators and quadrature domains
  • Toeplitz operators and quantum mechanics




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