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On the degree of the minimal polynomial of the Lyapunov operator

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References

  1. Ali, M. Sh., andM. Marcus: On the degree of the minimal polynomial of a commutator operator. Pacific J. Math.37, 561–565 (1971).

    Google Scholar 

  2. Marcus, M.: The minimal polynomial of a commutator. Portugal. Math.25, 73–76 (1964).

    Google Scholar 

  3. Marcus, M., andM. Sh. Ali: Minimal polynomials of additive commutators and Jordan products. J. Algebra22, 12–33 (1972).

    Google Scholar 

  4. Marcus, M., andH. Minc: A Survey of Matrix Theory and Matrix Inequalities. Boston: Prindle, Weber and Schmidt. 1969.

    Google Scholar 

  5. Roth, W. E.: On direct product matrices. Bull. Amer. Math. Soc.40, 461–468 (1934).

    Google Scholar 

  6. Taussky, O., andH. Wielandt: Linear relations between higher additive commutators. Proc. Amer. Math. Soc.13, 732–735 (1962).

    Google Scholar 

  7. Taussky, O.: A generalization of matrix commutativity. Lin. Algebra and Appl.2, 349–353 (1969).

    Google Scholar 

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The research of both authors was supported by U.S. Air Force Office of Scientific Research Grant AFOSR-72-2167.

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Marcus, M., Ali, M.S. On the degree of the minimal polynomial of the Lyapunov operator. Monatshefte für Mathematik 78, 229–236 (1974). https://doi.org/10.1007/BF01297277

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