Bulletin of the American Mathematical Society

Classification of involutive Banach-Lie-algebras

K. P. Hanscombe

Full-text: Open access

Article information

Source
Bull. Amer. Math. Soc., Volume 83, Number 5 (1977), 1063-1065.

Dates
First available in Project Euclid: 4 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.bams/1183539482

Mathematical Reviews number (MathSciNet)
MR0466248

Zentralblatt MATH identifier
0376.17004

Subjects
Primary: 17B65: Infinite-dimensional Lie (super)algebras [See also 22E65] 17B20: Simple, semisimple, reductive (super)algebras
Secondary: 47D99: None of the above, but in this section

Citation

Hanscombe, K. P. Classification of involutive Banach-Lie-algebras. Bull. Amer. Math. Soc. 83 (1977), no. 5, 1063--1065. https://projecteuclid.org/euclid.bams/1183539482


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References

  • 1. F. F. Bonsall and J. Duncan, Numerical ranges of operators on normed spaces and of elements of normed algebras, London Math. Society Lecture Note Series 2, Cambridge Univ. Press, London and New York, 1971. MR 44 #5779.
  • 2. P. de la Harpe, Classical Banach-Lie algebras and Banach-Lie groups of operators in Hilbert space, Lecture Notes in Math., vol. 285, Springer-Verlag, Berlin and New York, 1972.
  • 3. K. P. Hanscombe, Thesis, University of Western Australia, 1976.
  • 4. I. Kaplansky, Infinite dimensional Lie algebras, Scripta Math. 29 (1973), 237-241.