P-Amenable Locally Compact Hypergroups
| contributor author | رجبعلی کامیابی گل | en |
| contributor author | Rajab Ali Kamyabi Gol | fa |
| date accessioned | 2020-06-06T13:21:54Z | |
| date available | 2020-06-06T13:21:54Z | |
| date issued | 2006 | |
| identifier uri | https://libsearch.um.ac.ir:443/fum/handle/fum/3351876?show=full | |
| description abstract | Abstract. Let K be a locally compact hypergroup with left Haar measure and let P1 (K) = {f ∈ L1 (K) : f ≥ 0, kfk1 = 1 }. Then P1 (K) is a topological semigroup under the convolution product of L1 (K) induced in P1 (K). We say that K is P-amenable if there exists a left invariant mean on C(P1 (K)), the space of all bounded continuous functions on P1 (K). In this note, we consider the P- amenability of hypergroups. The P-amenability of hypergroup joins K = H ∨ J where H is a compact hypergroup and J is a discrete hypergroup with H∩J = {e} is characterized. It is also shown that Z-hypergroups are P-amenable if Z(K) ∩ G(K) is compact | en |
| language | English | |
| title | P-Amenable Locally Compact Hypergroups | en |
| type | Journal Paper | |
| contenttype | External Fulltext | |
| subject keywords | Hypergroup | en |
| subject keywords | Left invariant mean | en |
| subject keywords | Amenable | en |
| subject keywords | P-amenable | en |
| subject keywords | Hypergroup joins | en |
| subject keywords | Zhypergroup | en |
| subject keywords | Strongly normal | en |
| subject keywords | Supernormal | en |
| subject keywords | Topological semigroup | en |
| journal title | Bulletin of the Iranian Mathematical Society | fa |
| pages | 43-51 | |
| journal volume | 32 | |
| journal issue | 2 | |
| identifier link | https://profdoc.um.ac.ir/paper-abstract-203387.html | |
| identifier articleid | 203387 |
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