An amenability property of algebras of functions on semidirect products of semigroups
Let S1 and S2 be semitopological semigroups, S1 τ S2 a semidirect product. An amenability property is established for algebras of functions on S1 τ S2. This result is used to decompose the kernel of the weakly almost periodic compactification of S1 τ S2 into a semidirect product....
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| Format: | Article |
| Language: | English |
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Wiley
1983-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171283000253 |
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| _version_ | 1832555286466920448 |
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| author | Bao-Ting Lerner |
| author_facet | Bao-Ting Lerner |
| author_sort | Bao-Ting Lerner |
| collection | DOAJ |
| description | Let S1 and S2 be semitopological semigroups, S1 τ S2 a semidirect product. An amenability property is established for algebras of functions on S1 τ S2. This result is used to decompose the kernel of the weakly almost periodic compactification of S1 τ S2 into a semidirect product. |
| format | Article |
| id | doaj-art-b98f445d004d499fb8be8fad6a03cb37 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1983-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b98f445d004d499fb8be8fad6a03cb372025-02-03T05:48:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-016229730510.1155/S0161171283000253An amenability property of algebras of functions on semidirect products of semigroupsBao-Ting Lerner0Department of Mathematics, U. S. Naval Academy, Annapolis, MD 21402, USALet S1 and S2 be semitopological semigroups, S1 τ S2 a semidirect product. An amenability property is established for algebras of functions on S1 τ S2. This result is used to decompose the kernel of the weakly almost periodic compactification of S1 τ S2 into a semidirect product.http://dx.doi.org/10.1155/S0161171283000253semitopological semigroupsemidirect productcompatificationamenabilitystrongly almost periodicweakly almost periodickernel. |
| spellingShingle | Bao-Ting Lerner An amenability property of algebras of functions on semidirect products of semigroups International Journal of Mathematics and Mathematical Sciences semitopological semigroup semidirect product compatification amenability strongly almost periodic weakly almost periodic kernel. |
| title | An amenability property of algebras of functions on semidirect products of semigroups |
| title_full | An amenability property of algebras of functions on semidirect products of semigroups |
| title_fullStr | An amenability property of algebras of functions on semidirect products of semigroups |
| title_full_unstemmed | An amenability property of algebras of functions on semidirect products of semigroups |
| title_short | An amenability property of algebras of functions on semidirect products of semigroups |
| title_sort | amenability property of algebras of functions on semidirect products of semigroups |
| topic | semitopological semigroup semidirect product compatification amenability strongly almost periodic weakly almost periodic kernel. |
| url | http://dx.doi.org/10.1155/S0161171283000253 |
| work_keys_str_mv | AT baotinglerner anamenabilitypropertyofalgebrasoffunctionsonsemidirectproductsofsemigroups AT baotinglerner amenabilitypropertyofalgebrasoffunctionsonsemidirectproductsofsemigroups |