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Quasi-singular values of linear transformations

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Summary

LetA be a linear transformation onE n , a unitary space of dimensionn andJ k be a symmetry with respect to ak-dimensional subspace ofE n . Then inequalities among proper values ofA * J k+1 A andA * J k A have been studied. Proper values ofA * J k A are called quasi-singular values of orderk ofA.

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References

  1. A. R. Amir-Moéz and A. L. Fass,A model of Quasi-Euclidean Space, American Math. Monthly, Vol. 68 No. 3, (1961), pp. 211–214.

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  2. A. R. Amir-Moéz,Extreme Properties of Eigenvalues of a Hermitian Transformation and Singular Values of the Sum and Product of Linear Transformations, Duke Math. Journal, Vol. 23 (1965), pp. 463–476.

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  3. Jean Dieudonné,La géométrie des group classique, Ergebnisse der Mathematik und ihrer Grenzgebiete, Berlin, 1955, pp. 17–18.

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Authors and Affiliations

  1. Lubbock, U. S. A.

    Ali R. Amir-Moéz

Authors
  1. Ali R. Amir-Moéz
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Supported in part by NSF Grant no. GP-5104.

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Amir-Moéz, A.R. Quasi-singular values of linear transformations. Rend. Circ. Mat. Palermo 22, 314–316 (1973). https://doi.org/10.1007/BF02866986

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  • DOI: https://doi.org/10.1007/BF02866986

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