Geodesic
On r*-Invariant Measure on a Locally Compact Semigroup with Recurrence
Canadian mathematical bulletin, Tome 23 (1980) no. 2, pp. 237-239

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

DOI

A regular Borel measure μ is said to be r*-invariant on a locally compact semigroup if μ(Ba -1) = μ(B) for all Borel sets B and points a of S, where Ba -1 ={xεS, xaεB}. In [1] Argabright conjectured that the support of an r*-invariant measure on a locally compact semigroup is a left group, Mukherjea and Tserpes [4] proved this conjecture in the case that the measure is finite; however their method of proof fails when the measure is infinite. 
Bourne, Samuel. On r*-Invariant Measure on a Locally Compact Semigroup with Recurrence. Canadian mathematical bulletin, Tome 23 (1980) no. 2, pp. 237-239. doi: 10.4153/CMB-1980-032-x
@article{10_4153_CMB_1980_032_x,
     author = {Bourne, Samuel},
     title = {On {r*-Invariant} {Measure} on a {Locally} {Compact} {Semigroup} with {Recurrence}},
     journal = {Canadian mathematical bulletin},
     pages = {237--239},
     year = {1980},
     volume = {23},
     number = {2},
     doi = {10.4153/CMB-1980-032-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-032-x/}
}
TY  - JOUR
AU  - Bourne, Samuel
TI  - On r*-Invariant Measure on a Locally Compact Semigroup with Recurrence
JO  - Canadian mathematical bulletin
PY  - 1980
SP  - 237
EP  - 239
VL  - 23
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-032-x/
DO  - 10.4153/CMB-1980-032-x
ID  - 10_4153_CMB_1980_032_x
ER  - 
%0 Journal Article
%A Bourne, Samuel
%T On r*-Invariant Measure on a Locally Compact Semigroup with Recurrence
%J Canadian mathematical bulletin
%D 1980
%P 237-239
%V 23
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-032-x/
%R 10.4153/CMB-1980-032-x
%F 10_4153_CMB_1980_032_x

Cité par Sources :