Positivity, Betweenness, and Strictness of Operator Means
An operator mean is a binary operation assigned to each pair of positive operators satisfying monotonicity, continuity from above, the transformer inequality, and the fixed-point property. It is well known that there are one-to-one correspondences between operator means, operator monotone functions,...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2015/851568 |
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| _version_ | 1850235029612920832 |
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| author | Pattrawut Chansangiam |
| author_facet | Pattrawut Chansangiam |
| author_sort | Pattrawut Chansangiam |
| collection | DOAJ |
| description | An operator mean is a binary operation assigned to each pair of positive operators
satisfying monotonicity, continuity from above, the transformer inequality, and the fixed-point property. It is well known that there are one-to-one correspondences between operator means, operator monotone functions, and Borel measures. In this paper, we provide various characterizations for the concepts of positivity, betweenness, and strictness of operator means in terms of operator inequalities, operator monotone functions, Borel measures, and certain operator equations. |
| format | Article |
| id | doaj-art-17ebacd4ccb94dd1a90efbf5d1215563 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-17ebacd4ccb94dd1a90efbf5d12155632025-08-20T02:02:26ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/851568851568Positivity, Betweenness, and Strictness of Operator MeansPattrawut Chansangiam0Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok 10520, ThailandAn operator mean is a binary operation assigned to each pair of positive operators satisfying monotonicity, continuity from above, the transformer inequality, and the fixed-point property. It is well known that there are one-to-one correspondences between operator means, operator monotone functions, and Borel measures. In this paper, we provide various characterizations for the concepts of positivity, betweenness, and strictness of operator means in terms of operator inequalities, operator monotone functions, Borel measures, and certain operator equations.http://dx.doi.org/10.1155/2015/851568 |
| spellingShingle | Pattrawut Chansangiam Positivity, Betweenness, and Strictness of Operator Means Abstract and Applied Analysis |
| title | Positivity, Betweenness, and Strictness of Operator Means |
| title_full | Positivity, Betweenness, and Strictness of Operator Means |
| title_fullStr | Positivity, Betweenness, and Strictness of Operator Means |
| title_full_unstemmed | Positivity, Betweenness, and Strictness of Operator Means |
| title_short | Positivity, Betweenness, and Strictness of Operator Means |
| title_sort | positivity betweenness and strictness of operator means |
| url | http://dx.doi.org/10.1155/2015/851568 |
| work_keys_str_mv | AT pattrawutchansangiam positivitybetweennessandstrictnessofoperatormeans |