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Original Articles

Radii and subnorms on finite-dimensional power-associative algebras

Pages 405-415 | Received 15 Sep 2006, Accepted 28 Dec 2006, Published online: 21 Sep 2007

References

  • Baez , JC . 2002 . The octonions . Bulletin of the American Mathematical Society (N.S.) , 39 : 145 – 205 .
  • Boas , RP Jr . 1960 . A Primer of Real Functions , Providence, Rhode Island : American Mathematical Society .
  • Conway , JH and Smith , DA . 2003 . On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry , Wellesley, MA : A. K. Peters .
  • Goldberg , M . 2007 . Minimal polynomials and radii of elements in finite-dimensional power-associative algebras. . Transactions of the American Mathematical Society , 359 : 4055 – 4072 .
  • Goldberg , M and Luxemburg , WAJ . 2000 . Stable subnorms. . Linear Algebra and its Applications , 307 : 89 – 101 .
  • Goldberg , M and Luxemburg , WAJ . 2001 . Discontinuous subnorms. . Linear and Multilinear Algebra , 49 : 1 – 24 .
  • Goldberg , M and Luxemburg , WAJ . 2004 . Stable subnorms revisited. . Pacific Journal of Mathematics , 215 : 15 – 27 .
  • Hahn , H and Rosenthal , A . 1948 . Set Functions , Albuquerque : University of New Mexico Press .
  • Hamel , G . 1905 . Eine Basis aller Zahlen und die unstetigen Lösungen der Functionalgleichung f\,(x+y)=f\,(x)+f\,(y). . Mathematische Annalen , 60 : 450 – 462 .
  • Hardy , GH , Littlewood , JE and Pólya , G . 1934 . Inequalities , Cambridge : Cambridge University Press .
  • Rudin , W . 1987 . Real and Complex Analysis , 3rd , New York : McGraw-Hill .

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