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Tensor products and joint spectra

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Abstract

We prove that the joint spectrum of the tensor product of several operators is the cartesian product of their spectra.

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References

  1. Rober Schatten,A theory of cross-spaces, Ann. Math. Studies No. 26, Princeton Univ. Press, Princeton, N. J., 1950.

    MATH  Google Scholar 

  2. Francois Treves,Topological vector spaces, distributions and kernels, Academic Press, N.Y., 1967.

    MATH  Google Scholar 

  3. A. Guichardet,Special topics in topological algebras, Gordon and Breach, New York, 1968.

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  4. Martin Schechter,On the spectra of operators on tensor products, Journal Functional Analysis4 (1969), 95–99.

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  5. Arlen Brown and Carl Pearcy,Spectra of tensor products of operators, Proc. Amer. Math. Soc.17 (1966), 162–169.

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. University of Guelph, Canada

    A. T. Dash & M. Schechter

  2. Yeshiva University, New York

    A. T. Dash & M. Schechter

Authors
  1. A. T. Dash
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  2. M. Schechter
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Dash, A.T., Schechter, M. Tensor products and joint spectra. Israel J. Math. 8, 191–193 (1970). https://doi.org/10.1007/BF02771314

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  • DOI: https://doi.org/10.1007/BF02771314

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