No CrossRef data available.
Article contents
Almost convergent functions and their multipliers
Published online by Cambridge University Press: 14 November 2011
Synopsis
In this paper we give a characterisation of the multipliers of a space of almost convergent functions with respect to invariant means related to ergodic semigroups of operators. The characterisation extends several results of the literature.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 108 , Issue 3-4 , 1988 , pp. 333 - 338
- Copyright
- Copyright © Royal Society of Edinburgh 1988
References
1Balibrea, F.. The multipliers of a space of almost convergent continuous functions. Colloq. Math. (to appear).Google Scholar
2Conway, J. B.. A theorem on sequential convergence of measures and some applications. Pacific J. Math. 28 (1969), 33–40.CrossRefGoogle Scholar
3Ching-Chou, . The multipliers of the space of almost convergent sequences. Illinois J. Math. 16 (1972), 687–694.Google Scholar
4Ching-Chou, . On topologically invariant means on a locally compact group. Trans. Amer. Math. Soc. 151 (1970), 443–456.CrossRefGoogle Scholar
5, Ching-Chou and Duran, J. P.. Multipliers for the space of almost convergent functions on a semigroup. Proc. Amer. Math. Soc. 39 (1973), 125–128.CrossRefGoogle Scholar
7Duran, J. P.. Almost convergence, summability and ergodicity. Canad. J. Math. 2 (1974), 372–387.CrossRefGoogle Scholar
8Eberlein, W. F.. Abstract ergodic theorems and weak almost periodic functions. Trans. Amer. Math. Soc. 67 (1949), 217–240.CrossRefGoogle Scholar
9Granirier, E.. On amenable semigroups with a finite dimensional set of invariant means. Illinois J. Math. 7 (1963), 32–48.Google Scholar
10Greenleaf, F. D.. Invariant means on topological groups and their applications (Princeton: Van Nostrand, 1969).Google Scholar
11Lorentz, G. G.. A contribution to the theory of divergent sequences. Acta Math. 80 (1948), 167–190.CrossRefGoogle Scholar
12Maddox, I. J.. A new type of convergence. Math. Proc. Cambridge Philos. Soc. 83 (1978), 61–64.CrossRefGoogle Scholar
14Raimi, R.. Mean values and Banach limits. Proc. Amer. Math. Soc. 8 (1957), 1029–1036.CrossRefGoogle Scholar
15Wheeler, R.. A survey of Baire measures and strict topologies. Exposition. Math. 2 (1983), 97–190.Google Scholar