The Characterizations of Extreme Amenability of Locally Compact Semigroups | Zendy

H. P. Masiha | Zendy

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The Characterizations of Extreme Amenability of Locally Compact Semigroups

Author(s) -

H. P. Masiha

Publication year - 2008

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2008/207016

Subject(s) - mathematics , semigroup , locally compact space , locally compact group , measure (data warehouse) , identity (music) , pure mathematics , dirac (video compression format) , extreme point , discrete mathematics , combinatorics , physics , database , computer science , acoustics , nuclear physics , neutrino

We demonstrate that the characterizations of topological extreme amenability. In particular, we prove that for every locally compact semigroup with a right identity, the condition ⊙(×)=(⊙)×(⊙), for , in ()∗, and 0l∈(), implies that =, for some ∈ ( is a Dirac measure). We also obtain the conditions for which ()∗ is topologically extremely left amenable.

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