Around the Furuta inequalitythe operator inequalities (AB2A)¾≤ABA≤A3
For positive operators A and B with A invertible it is shown that (AB2A)½≤A2 implies (AB2A)¾≤ABA. The inequalities in the title for 0≤B≤A are then derived as a conquence.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1995-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000263 |
| id |
doaj-53c613b7ed5f4c34a98c1079daf1c53c |
|---|---|
| record_format |
Article |
| spelling |
doaj-53c613b7ed5f4c34a98c1079daf1c53c2020-11-25T00:37:18ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118120520710.1155/S0161171295000263Around the Furuta inequalitythe operator inequalities (AB2A)¾≤ABA≤A3Derming Wang0Department of Mathematics, California State University, Long Beach 90840, California, USAFor positive operators A and B with A invertible it is shown that (AB2A)½≤A2 implies (AB2A)¾≤ABA. The inequalities in the title for 0≤B≤A are then derived as a conquence.http://dx.doi.org/10.1155/S0161171295000263positive operatoroperator inequalitythe Furuta inequality. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Derming Wang |
| spellingShingle |
Derming Wang Around the Furuta inequalitythe operator inequalities (AB2A)¾≤ABA≤A3 International Journal of Mathematics and Mathematical Sciences positive operator operator inequality the Furuta inequality. |
| author_facet |
Derming Wang |
| author_sort |
Derming Wang |
| title |
Around the Furuta inequalitythe operator inequalities (AB2A)¾≤ABA≤A3 |
| title_short |
Around the Furuta inequalitythe operator inequalities (AB2A)¾≤ABA≤A3 |
| title_full |
Around the Furuta inequalitythe operator inequalities (AB2A)¾≤ABA≤A3 |
| title_fullStr |
Around the Furuta inequalitythe operator inequalities (AB2A)¾≤ABA≤A3 |
| title_full_unstemmed |
Around the Furuta inequalitythe operator inequalities (AB2A)¾≤ABA≤A3 |
| title_sort |
around the furuta inequalitythe operator inequalities (ab2a)¾≤aba≤a3 |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1995-01-01 |
| description |
For positive operators A and B with A invertible it is shown that (AB2A)½≤A2 implies
(AB2A)¾≤ABA. The inequalities in the title for 0≤B≤A are then derived as a conquence. |
| topic |
positive operator operator inequality the Furuta inequality. |
| url |
http://dx.doi.org/10.1155/S0161171295000263 |
| work_keys_str_mv |
AT dermingwang aroundthefurutainequalitytheoperatorinequalitiesab2a3⁄4abaa3 |
| _version_ |
1725301564137013248 |