Banach power - associative algebras : the complex and (or) non commutative cases

Bruno Iochum; Guy Loupias

Annales scientifiques de l'Université de Clermont. Mathématiques (1991)

  • Volume: 97, Issue: 27, page 93-106
  • ISSN: 0249-7042

How to cite

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Iochum, Bruno, and Loupias, Guy. "Banach power - associative algebras : the complex and (or) non commutative cases." Annales scientifiques de l'Université de Clermont. Mathématiques 97.27 (1991): 93-106. <http://eudml.org/doc/80588>.

@article{Iochum1991,
author = {Iochum, Bruno, Loupias, Guy},
journal = {Annales scientifiques de l'Université de Clermont. Mathématiques},
keywords = {-algebras; Banach power associative algebras; JB- algebras; Bpa-algebras with involution},
language = {eng},
number = {27},
pages = {93-106},
publisher = {UER de Sciences exactes et naturelles de l'Université de Clermont},
title = {Banach power - associative algebras : the complex and (or) non commutative cases},
url = {http://eudml.org/doc/80588},
volume = {97},
year = {1991},
}

TY - JOUR
AU - Iochum, Bruno
AU - Loupias, Guy
TI - Banach power - associative algebras : the complex and (or) non commutative cases
JO - Annales scientifiques de l'Université de Clermont. Mathématiques
PY - 1991
PB - UER de Sciences exactes et naturelles de l'Université de Clermont
VL - 97
IS - 27
SP - 93
EP - 106
LA - eng
KW - -algebras; Banach power associative algebras; JB- algebras; Bpa-algebras with involution
UR - http://eudml.org/doc/80588
ER -

References

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  1. 1 A.A. Albert, On the power-associativity of rings, Summa Brasil, Math., t.2, 1948, p. 21-32. Zbl0039.26403MR26044
  2. 2 K. Alvermann, The multiplicative triangle inequality in non commutative JB and JB*-algebras, Preprint. Zbl0563.46038
  3. 3 K. Alvermann and G. Janssen, Real and complex non commutative Jordan Banach algebras, Math. Z., t. 185, 1984, p. 105-113. Zbl0513.46044MR724047
  4. 4 F.F. Bonsall and J. Duncan, Numerical ranges of operators on normed spaces and of elements of normed algebras, London Mathematical Society Lectures Notes Series 2, Cambridge University Press, 1971. Zbl0262.47001MR288583
  5. 5 R.B. Braun, A Gelfand-Neumark theorem for C*-alternative algebra, Math. Z., t. 185, 1984, p. 225-242. Zbl0514.46047MR731343
  6. 6 B. Iochum et G. Loupias, Banach-power-associative algebras and JB-algebras, Ann. Inst. Henri Poincaré, t. 43, 1985, p. 211-225. Zbl0587.17012MR817536
  7. 7 T.W. Palmer, Characterization of C*- algebras-II, Trans. Amer. Math. Soc., t. 148, 1970, p. 577-588. Zbl0198.18001MR262842
  8. 8 R. Paya, J. Perez and A. Rodriguez, Non commutative Jordan C*-algebras, Manuscripta Math., t. 37, 1982, p. 87-120. Zbl0483.46049MR649567
  9. 9 A. Rodriguez-Palacios, A Vidav-Palmer theorem for Jordan C*-algebras and related topics, J. London Math. Soc., t. 22, 1980, p. 318-332. Zbl0483.46050MR588278
  10. 10 A. Rodriguez Palacios, Non associative normed algebras spanned by hermitian elements, Proc. London Math. Soc., t. 47, 1983, p. 258-274. Zbl0521.47036
  11. 11 R.D. Schafer, An introduction to non associative algebras, Academic Press, New-York, 1966. Zbl0145.25601
  12. 12 J.D.M. Wright, Jordan C*-algebras, Michigan Math. J., t. 24, 1977, p. 291-302. Zbl0384.46040MR487478
  13. 13 M.A. Yougson, A Vidav theorem for Banach Jordan algebras, Math. Proc. Cam. Phil. Soc., t. 84, 1978, p. 263-272. Zbl0392.46038MR493372

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