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On the (non-)surjectivity of compact operators

  • Brigitte E. BrecknerEmail author
  • Gheorghe Şimon
Article
  • 4 Downloads

Abstract

First, a general method to construct compact surjective operators between infinite-dimensional normed spaces is given. Thereafter, a sufficient condition is obtained to assure the non-surjectivity of compact operators.

Keywords

Compact operator Normed linear space Open mapping 

Mathematics Subject Classification

46B50 47B07 

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Notes

References

  1. 1.
    Heuser, H.: Funktionalanalysis. Theorie und Anwendung, 3. Auflage, B. G. Teubner, Stuttgart, (1992)Google Scholar
  2. 2.
    Rudin, W.: Functional Analysis. International Series in Pure and Applied Mathematics, McGraw Hill Inc., New York (1991)Google Scholar
  3. 3.
    Spurný, J.: A note on compact operators on normed linear spaces. Expo. Math. 25, 261–263 (2007)MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Faculty of Mathematics and Computer ScienceBabeş-Bolyai UniversityCluj-NapocaRomania

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