A Remark on Equivalence of Weak and Strong Definitions of the Absolutely Continuous Subspace for Nonself-adjoint Operators

  • Roman Romanov
Part of the Operator Theory: Advances and Applications book series (OT, volume 154)


We prove the equivalence of weak and strong definitions of the absolutely continuous subspace for nonself-adjoint dissipative operators.


absolutely continuous spectrum dissipative operators 


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© Springer Basel AG 2004

Authors and Affiliations

  • Roman Romanov
    • 1
    • 2
  1. 1.School of Computer ScienceCardiff University, Cardiff Queen’s BuildingsCardiffUK
  2. 2.Laboratory of Quantum Networks Institute for PhysicsSaint Petersburg State UniversitySt. PetersburgRussia

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