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Classification of essentially normal operators

Part of the Lecture Notes in Mathematics book series (LNM,volume 512)

Keywords

  • Normal Operator
  • Compact Subset
  • Compact Operator
  • Toeplitz Operator
  • Essential Spectrum

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References

  1. T.-B. Andersen, Linear extensions, projections and split faces, J. Functional Anal. 17 (1974), 161–173.

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  2. I.D. Berg, An extension of the Weyl-von Neumann theorem to normal operators, Trans. Amer. Math. Soc. 160 (1971), 365–371.

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  3. L.G. Brown, R.G. Douglas and P.A. Fillmore, Extensions of C*-algebras, operators with compact self-commutators, and K-homology, Bull. Amer. Math. Soc. 79 (1973), 973–978.

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  4. L.G. Brown, R.G. Douglas and P.A. Fillmore, Unitary equivalence modulo the compact operators and extensions of C*-algebras, Springer Lecture Notes in Mathematics, No. 345, 58–128.

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  6. R.G. Douglas, Banach Algebra Techniques in Operator Theory, Academic Press, New York, 1972.

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  7. N. Dunford and J.T. Schwartz, Linear Operators, Part II, Wiley Interscience

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  8. B. Sz.-Nagy, Extensions of linear transformations in Hilbert space which extend beyond this space, Appendix to F. Riesz and B. Sz.-Nagy, Functional Analysis (New York, 1960).

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© 1976 Springer-Verlag

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Davie, A.M. (1976). Classification of essentially normal operators. In: Bekken, O.B., Øksendal, B.K., Stray, A. (eds) Spaces of Analytic Functions. Lecture Notes in Mathematics, vol 512. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080022

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  • DOI: https://doi.org/10.1007/BFb0080022

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07682-7

  • Online ISBN: 978-3-540-38201-0

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