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Proceedings of a Conference on Operator Theory pp 210–228Cite as

The determinant invariant for operators with trace class self commutators

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 345))

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References

  1. C. A. Berger and B. I. Shaw, "Self-commutators of multi-cyclic hyponormal operators are always trace class", to appear in Bull. A.M.S.

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  2. _____, "Intertwining, analytic structure, and the trace norm estimate, these Notes.

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  3. L. G. Brown, R. G. Douglas, and P. A. Fillmore, "Unitary equivalence modulo the compact operators and extensions of C*-algebras", these Notes.

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  4. J. W. Helton and R. E. Howe, "Commutators, traces, index and homology", these Notes.

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  5. J. G. Hocking and G. S. Young, Topology, Addison-Wesley, Reading, 1961.

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  6. J. Milnor, "Algebraic K-theory and quadratic forms", Inventiones Math. 9 (1970) 318–344.

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  7. J. D. Pincus, "On the trace of commutators in the algebra of operators generated by an operator with trace-class self-commutator", to appear.

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  8. Richard W. Carey and J. D. Pincus, "An exponential formula for determining functions", to appear in Indiana Univ. Math. J.

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Author information

Authors and Affiliations

  1. S.U.N.Y. at Stony Brook, Stony Brook, New York

    Lawrence G. Brown

Authors
  1. Lawrence G. Brown
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P. A. Fillmore

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© 1973 Springer-Verlag

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Brown, L.G. (1973). The determinant invariant for operators with trace class self commutators. In: Fillmore, P.A. (eds) Proceedings of a Conference on Operator Theory. Lecture Notes in Mathematics, vol 345. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058920

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  • DOI: https://doi.org/10.1007/BFb0058920

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06496-1

  • Online ISBN: 978-3-540-37808-2

  • eBook Packages: Springer Book Archive

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