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: |
Wiley
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 |
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| _version_ | 1832560544337362944 |
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| author | Tyler Haynes |
| author_facet | Tyler Haynes |
| author_sort | Tyler Haynes |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ab261513a5cb4f8187f3fdb8b68f030b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1993-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ab261513a5cb4f8187f3fdb8b68f030b2025-02-03T01:27:18ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116349350210.1155/S0161171293000602Thickness in topological transformation semigroupsTyler Haynes0Mathematics Department, Saginaw Valley State University, University Center 48710-0001, Michigan, USAThis 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.http://dx.doi.org/10.1155/S0161171293000602thicknesstopological transformation semigroup transformation semigroupinvariant mean. |
| spellingShingle | Tyler Haynes Thickness in topological transformation semigroups International Journal of Mathematics and Mathematical Sciences thickness topological transformation semigroup transformation semigroup invariant mean. |
| title | Thickness in topological transformation semigroups |
| title_full | Thickness in topological transformation semigroups |
| title_fullStr | Thickness in topological transformation semigroups |
| title_full_unstemmed | Thickness in topological transformation semigroups |
| title_short | Thickness in topological transformation semigroups |
| title_sort | thickness in topological transformation semigroups |
| topic | thickness topological transformation semigroup transformation semigroup invariant mean. |
| url | http://dx.doi.org/10.1155/S0161171293000602 |
| work_keys_str_mv | AT tylerhaynes thicknessintopologicaltransformationsemigroups |