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The fuglede commutativity theorem modulo the hilbert-schmidt class and generating functions for matrix operators

  • Gary Weiss
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 693)

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References

  1. [1]
    I. D. Berg, An extension of the Weyl-von Neumann Theorem to normal operators, Trans. Amer. Math. Soc. 160 (1971), 365–371.MathSciNetCrossRefzbMATHGoogle Scholar
  2. [2]
    C. A. Berger and B. I. Shaw, Self-commutators of multicyclic hyponormal operators are always trace class, Bull. Amer. Math. Soc. 79 (1973), 1193–1199.MathSciNetCrossRefzbMATHGoogle Scholar
  3. [3]
    L. G. Brown, R. G. Douglas, and P. A. Fillmore, Unitary equivalence modulo the compact operators and extensions of C*-algebras, Springer-Verlag, 345 (1973), 58–128.MathSciNetzbMATHGoogle Scholar
  4. [4]
    R. W. Carey and J. D. Pincus, Perturbation by trace class operators, Bull. Amer. Math. Soc. 80 (1974), 758–759.MathSciNetCrossRefzbMATHGoogle Scholar
  5. [5]
    I. C. Gohberg and M. G. Krein, Introduction to the Theory of Linear Nonself-adjoint Operators. Translated from the Monographs, Vol. 18, American Mathematical Society, Providence, Rhode Island, 1969.zbMATHGoogle Scholar
  6. [6]
    P. R. Halmos, Measure Theory, D. van Nostrand Co. (1950), 171–174.Google Scholar
  7. [7]
    J. W. Helton and R. E. Howe, Integral operators: commutators, traces, index and homology, Springer-Verlag, 345 (1973), 141–209.MathSciNetzbMATHGoogle Scholar
  8. [8]
    J. von Neumann, Charakterisierung des Spektrums eines Integraloperators, Actualites Sci. Indust., no. 229, Hermann, Paris, 1935.zbMATHGoogle Scholar
  9. [9]
    Gary Weiss, Commutators and operator ideals, dissertation (1975), University of Michigan.Google Scholar
  10. [10]
    Gary Weiss, Fuglede's Commutativity Theorem modulo operator ideals, submitted.Google Scholar
  11. [11]
    Gary Weiss, The Fuglede Commutativity Theorem Modulo the Hilbert-Schmidt Class and Generating Functions for Matrix Operators I, Trans. Amer. Math. Soc., to appear.Google Scholar
  12. [12]
    Gary Weiss, The Fuglede Commutativity Theorem Modulo the Hilbert-Schmidt Class and Generating Functions for Matrix Operators II, in preparation.Google Scholar
  13. [13]
    H. Weyl, "Über beschränkte quadratischen Formen deren Differenz vollstetig ist," Rend. Circ. Mat. Pelermo, 27 (1909), 373–392.CrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • Gary Weiss
    • 1
  1. 1.University of CincinattiUSA

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