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THE LOGARITHMIC FUNCTION AND TRACE ZERO ELEMENTS IN FINITE VON NEUMANN FACTORS

  • LAJOS MOLNÁR (a1) (a2)
Abstract

In this short note we present a common characterisation of the logarithmic function and the subspace of all trace zero elements in finite von Neumann factors.

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[1] Kadison, R. V. and Ringrose, J. R., Fundamentals of the Theory of Operator Algebras, Vol. II (Academic Press, New York, 1986).
[2] Molnár, L., ‘General Mazur–Ulam type theorems and some applications’, in: Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics, Operator Theory: Advances and Applications (eds. W. Arendt, R. Chill and Y. Tomilov), 250 (2015), 311–342.
[3] Pedersen, G. K., C -Algebras and their Automorphism Groups (Academic Press, London–New York–San Francisco, 1979).
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Bulletin of the Australian Mathematical Society
  • ISSN: 0004-9727
  • EISSN: 1755-1633
  • URL: /core/journals/bulletin-of-the-australian-mathematical-society
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