• https://doi.org/10.1093/oso/9780198500131.003.0002Copy DOI Icon

Banach and topological algebras

  • Mar 15, 2001
  • H G Dales
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Abstract

Abstract We now turn to the definitions and fundamental properties of (in general, non commutative) Banach algebras and some more general topological algebras. Thus we are moving from the foundations given in Chapter 1, and shall now examine the implications of the additional assumption that the algebras that we are considering also have a topology; in each case, the topology is connected to the algebraic structure by the simple requirement that the algebraic operations be continuous.

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