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Original Articles

Three elementary proofs of the goldberg-straus theorem on numerical radii

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Pages 243-252 | Received 01 Apr 1981, Published online: 30 May 2007

References

  • Fan , K. 1951 . Maximum properties and inequalities for eigenvalues of completely continuous operators . Proc. N.A.S. (U.S.A.) , 37 : 760 – 766 .
  • Goldberg , M. and Straus , E. G. 1977 . Elementary inclusion relations for generalized numerical ranges . Linear Algebra and Appl. , 18 : 1 – 24 .
  • Goldberg , M. and Straus , E. G. 1979 . Norm properties of C-numerical radii . Linear Algebra and Appl. , 24 : 113 – 131 .
  • Marcus , M. and Moyls , B. N. 1957 . On the maximum principle of Ky Fan . Canad. J. Math. , 9 : 313 – 320 .
  • Marcus , M. 1973, 1975 . Finite Dimensional Multilinear Algebra , New York and Basel : Marcel Dekker, Inc . Parts 1 and 2
  • von Neumann , J. 1937 . Some matrix-inequalities and metrization of matrix space . Tomsk Univ.Rev. , 1 : 286 – 300 .

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