Geodesic
A Characterisation of Locally Compact Amenable Subsemigroups
Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 305-312

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, we prove that if S is a locally compact semigroup and T a locally compact Borel measurable subsemigroup of S, then T has a topological left invariant mean if and only if there is a topological left T-invariant mean M on S such that M(xT ) = 1, where xT is the characteristic functional of T in S.
DOI : 10.4153/CMB-1980-042-6
Mots-clés : (Mathematical Reviews 1973), 22.05, 22.20 and 42.50, Locally compact semigroups and subsemigroups, topological left invariant means measure algebras, characteristic functionals 
Wong, James C. S. A Characterisation of Locally Compact Amenable Subsemigroups. Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 305-312. doi: 10.4153/CMB-1980-042-6
@article{10_4153_CMB_1980_042_6,
     author = {Wong, James C. S.},
     title = {A {Characterisation} of {Locally} {Compact} {Amenable} {Subsemigroups}},
     journal = {Canadian mathematical bulletin},
     pages = {305--312},
     year = {1980},
     volume = {23},
     number = {3},
     doi = {10.4153/CMB-1980-042-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-042-6/}
}
TY  - JOUR
AU  - Wong, James C. S.
TI  - A Characterisation of Locally Compact Amenable Subsemigroups
JO  - Canadian mathematical bulletin
PY  - 1980
SP  - 305
EP  - 312
VL  - 23
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-042-6/
DO  - 10.4153/CMB-1980-042-6
ID  - 10_4153_CMB_1980_042_6
ER  - 
%0 Journal Article
%A Wong, James C. S.
%T A Characterisation of Locally Compact Amenable Subsemigroups
%J Canadian mathematical bulletin
%D 1980
%P 305-312
%V 23
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-042-6/
%R 10.4153/CMB-1980-042-6
%F 10_4153_CMB_1980_042_6

[1] 1. Day, M.M., Amenable semigroups, Illinois J. Math. 1 (1957), 509-544. Google Scholar

[2] 2. Day, M.M., Lumpy subsets in left-amenable locally compact semigroups, Pacific J. Math. 62 (1976), 87-92. Google Scholar

[3] 3. Folner, E., On groups with full Banach mean value, Math. Scand. 3 (1955), 243-254. Google Scholar

[4] 4. Greenieaf, F.P., Invariant means on topological groups, Van Nostrand Methematical Studies No. 16, Van Nostrand, New York, 1969. Google Scholar

[5] 5. Hewitt, E. and Ross, K.A., Abstract harmonic analysis I, Springer-Verlag, Berlin, 1963. Google Scholar

[6] 6. Hulanicki, A., Means and F0lner condition on locally compact groups, Studia Math. 27 (1966), 87-104. Google Scholar

[7] 7. Rickert, N., Amenable groups and groups with the fixed point property, Trans. Amer. Math. Soc. 127 (1967), 221-232. Google Scholar

[8] 8. Wilde, C. and Witz, K., Invariant means and the Stone-Cech compactification, Pacific J. Math. 21 (1967), 577-586. Google Scholar

[9] 9. Wong, James C.S., Invariant means on locally compact semigroups, Proc. Amer. Math. Soc. 31 (1972), 39-45. Google Scholar

[10] 10. Wong, James C.S., AM ergodic property of locally compact amenable semigroups, Pacific J. Math. 48 (1973), 615-619. Google Scholar

[11] 11. Wong, James C.S., Absolutely continuous measures on locally compact semigroups, Canadian Math. Bull. 18 (1975), 127-131. Google Scholar

[12] 12. Wong, James C.S., Amenability and substantial semigroups, Canadian Math. Bull. 19 (1976), 231-234. Google Scholar

[13] 13. Wong, James C.S., a characterisation of topological left thick subsets in locally compact left amenable semigroups, Pacific J. Math. 62 (1976), 295-303. Google Scholar

Cité par Sources :