Ukrainian Mathematical Journal

, Volume 60, Issue 5, pp 810–815 | Cite as

On the defect of nondenseness of continuous imbeddings in the scale of Hilbert spaces

  • R. V. Bozhok
Brief Communications

We obtain a formula for the determination of a defect under a continuous imbedding of subspaces in the scale of Hilbert spaces.


Hilbert Space Singular Perturbation Proper Subset Separable Hilbert Space Orthogonal Subspace 
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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  • R. V. Bozhok
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKievUkraine

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