Abstract.
This paper presents and studies a class of algebras which includes the usual Volterra algebra. Roughly speaking, they relate to the Volterra algebra in the way a general locally compact group relates to ℝ. We show that they can be viewed as quotients of some semigroup algebras introduced by Baker and Baker [1]. Their sets of nilpotent elements are dense. We investigate the second duals of these algebras and find that most of the properties found in [7] for the biduals of the group algebras L 1(G) for compact G are retained here.
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Received 8 July 1997; in revised form 17 November 1997
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Pym, J., Saghafi, A. Volterra-like Banach Algebras and their Second Duals. Mh Math 127, 203–217 (1999). https://doi.org/10.1007/s006050050035
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DOI: https://doi.org/10.1007/s006050050035