A note on the support of right invariant measures
A regular measure μ on a locally compact topological semigroup is called right invariant if μ(Kx)=μ(K) for every compact K and x in its support. It is shown that this condition implies a property reminiscent of the right cancellation law. This is used to generalize a theorem of A. Mukherjea and the...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1992-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117129200053X |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564274641240064 |
|---|---|
| author | N. A. Tserpes |
| author_facet | N. A. Tserpes |
| author_sort | N. A. Tserpes |
| collection | DOAJ |
| description | A regular measure μ on a locally compact topological semigroup is called right invariant if μ(Kx)=μ(K) for every compact K and x in its support. It is shown that this condition implies a property reminiscent of the right cancellation law. This is used to generalize a theorem of A. Mukherjea and the author (with a new proof) to the effect that the support of an r*-invariant measure is a left group iff the measure is right invariant on its support. |
| format | Article |
| id | doaj-art-85dccda4e8704333bd90924c5916c7f1 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-85dccda4e8704333bd90924c5916c7f12025-02-03T01:11:23ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115240540810.1155/S016117129200053XA note on the support of right invariant measuresN. A. Tserpes0Department of Mathematics, University of Patra, Patra, GreeceA regular measure μ on a locally compact topological semigroup is called right invariant if μ(Kx)=μ(K) for every compact K and x in its support. It is shown that this condition implies a property reminiscent of the right cancellation law. This is used to generalize a theorem of A. Mukherjea and the author (with a new proof) to the effect that the support of an r*-invariant measure is a left group iff the measure is right invariant on its support.http://dx.doi.org/10.1155/S016117129200053Xtopological semigroupleft groupright invariant (Borel) measurer*-invariant measuresupport of a Borel measurelocally compact semigroup. |
| spellingShingle | N. A. Tserpes A note on the support of right invariant measures International Journal of Mathematics and Mathematical Sciences topological semigroup left group right invariant (Borel) measure r*-invariant measure support of a Borel measure locally compact semigroup. |
| title | A note on the support of right invariant measures |
| title_full | A note on the support of right invariant measures |
| title_fullStr | A note on the support of right invariant measures |
| title_full_unstemmed | A note on the support of right invariant measures |
| title_short | A note on the support of right invariant measures |
| title_sort | note on the support of right invariant measures |
| topic | topological semigroup left group right invariant (Borel) measure r*-invariant measure support of a Borel measure locally compact semigroup. |
| url | http://dx.doi.org/10.1155/S016117129200053X |
| work_keys_str_mv | AT natserpes anoteonthesupportofrightinvariantmeasures AT natserpes noteonthesupportofrightinvariantmeasures |