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Strictly cyclic operator algebras and approximation of operators

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Part of the Lecture Notes in Mathematics book series (LNM,volume 693)

Keywords

  • Essential Spectrum
  • Cyclic Vector
  • Connected Open Subset
  • Infinite Dimensional Hilbert Space
  • Similarity Orbit

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References

  1. R. A. Adams, Sobolev Spaces, Academic Press, New York-San Francisco-London

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  2. C. Apostol and B. Morrel, On approximation of operators by simple models, Indiana University Math. J., 26 (1976), 427–442.

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  3. C. Foiaş, C. Pearcy and D. Voiculescu, Biquasitriangular operators and quasisimilarity, (to appear).

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  4. D. A. Herrero, Closure of similarity orbits of Hilbert space operators, II: Normal operators, J. London Math. Soc., (2) 13 (1976), 299–316.

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  5. D. A. Herrero, Closure of similarity orbits of Hilbert space operators, III, Math. Ann., (to appear).

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  6. D. A. Herrero, Quasisimilar operators with different spectra, Acta Sci. Math. (Szeged), (to appear).

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  7. H. Radjavi and P. Rosenthal, Invariant subspaces, Ergebnisse der Mathematik und ihrer Grenzgebiete, B. 77, Springer-Verlag, New York-Heidelberg-Berlin, 1973.

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© 1978 Springer-Verlag

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Herrero, D.A. (1978). Strictly cyclic operator algebras and approximation of operators. In: Bachar, J.M., Hadwin, D.W. (eds) Hilbert Space Operators. Lecture Notes in Mathematics, vol 693. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064666

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  • DOI: https://doi.org/10.1007/BFb0064666

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09097-7

  • Online ISBN: 978-3-540-35557-1

  • eBook Packages: Springer Book Archive