Thickness in topological transformation semigroups
This article deals with thickness in topological transformation semigroups (τ-semigroups). Thickness is used to establish conditions guaranteeing an invariant mean on a function space defined on a τ-semigroup if there exists an invariant mean on its functions restricted to a sub-τ-semigroup of the o...
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1993-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171293000602 |
| Summary: | This article deals with thickness in topological transformation semigroups
(τ-semigroups). Thickness is used to establish conditions guaranteeing an invariant mean on a
function space defined on a τ-semigroup if there exists an invariant mean on its functions
restricted to a sub-τ-semigroup of the original τ-semigroup. We sketch earlier results, then give
many equivalent conditions for thickness on τ-semigroups, and finally present theorems giving
conditions for an invariant mean to exist on a function space. |
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| ISSN: | 0161-1712 1687-0425 |