Positivity, Betweenness, and Strictness of Operator Means
Author
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-24
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
An operator mean is a binary operation assigned to each pair of positive operatorssatisfying 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.
American Psychological Association (APA)
Chansangiam, Pattrawut. 2015. Positivity, Betweenness, and Strictness of Operator Means. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-5.
https://search.emarefa.net/detail/BIM-1052130
Modern Language Association (MLA)
Chansangiam, Pattrawut. Positivity, Betweenness, and Strictness of Operator Means. Abstract and Applied Analysis No. 2015 (2015), pp.1-5.
https://search.emarefa.net/detail/BIM-1052130
American Medical Association (AMA)
Chansangiam, Pattrawut. Positivity, Betweenness, and Strictness of Operator Means. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-5.
https://search.emarefa.net/detail/BIM-1052130
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052130