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2 results

  • A Characterisation of Locally Compact Amenable Subsemigroups

  • James C. S. Wong
  • Journal:
    Canadian Mathematical Bulletin / Volume 23 / Issue 3 / 01 September 1980
    Published online by Cambridge University Press:
    20 November 2018, pp. 305-312
    Print publication:
    01 September 1980
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  • In this paper, we prove that if S is a locally compact semigroup and T a locally compact Borel measurable subsemigroup of S, then T has a topological left invariant mean if and only if there is a topological left T-invariant mean M on S such that M(xT) = 1, where xT is the characteristic functional of T in S.

  • Amenability and Substantial Semigroups

  • James C. S. Wong
  • Journal:
    Canadian Mathematical Bulletin / Volume 19 / Issue 2 / 01 June 1976
    Published online by Cambridge University Press:
    20 November 2018, pp. 231-234
    Print publication:
    01 June 1976
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  • In this paper, we introduce the concept of topological left substantial subsemigroup of a locally compact semigroup S and prove that if T is such a subsemigroup in S and M(T) is the measure algebra of T, then M(T)* is topological left amenable iff M(S)* is topological left amenable, an extension of a similar result for discrete semigroups.