Summability in amenable semigroups
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- by Peter F. Mah
- Trans. Amer. Math. Soc. 156 (1971), 391-403
- DOI: https://doi.org/10.1090/S0002-9947-1971-0275013-X
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Abstract:
A theory of summability is developed in amenable semigroups. We give necessary and (or) sufficient conditions for matrices to be almost regular, almost Schur, strongly regular, and almost strongly regular. In particular, when the amenable semigroup is the additive positive integers, our theorems yield those results of J. P. King, P. Schaefer and G. G. Lorentz for some of the matrices mentioned above.References
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Bibliographic Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 156 (1971), 391-403
- MSC: Primary 40.50
- DOI: https://doi.org/10.1090/S0002-9947-1971-0275013-X
- MathSciNet review: 0275013