Banach algebras satisfying the non-unital von Neumann inequality
Bull. London Math. Soc., 27 (1995), 359-362.
1991 Mathematics Subject Classification: 47D25
There is a Banach algebra satisfying the von Neumann inequality for polynomials
in a single variable, without constant term, which is not isomorphic to a
norm-closed algebra of operators on a Hilbert space.
Reprints of the paper available on request: e-mail P.Dixon with extension
@sheffield.ac.uk. The original preprint had an appendix on Bohr's Theorem
which was not submitted for publication; a PDF file of this is available.
I gave a seminar on this subject in Cambridge, U.K. on 19 January 1994; a DVI file of the lecture notes is available.
Other publications by P. G. Dixon. Return to P. G. Dixon home page