Two variables functionals and inequalities related to measurable operators
Abstract In this paper, we introduce two variables norm functionals of τ-measurable operators and establish their joint log-convexity. Applications of this log-convexity will include interpolated Young, Heinz and Trace inequalities related to τ-measurable operators. Additionally, interpolated versio...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-12-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-017-1583-9 |
| _version_ | 1818110038754983936 |
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| author | Jingjing Shao |
| author_facet | Jingjing Shao |
| author_sort | Jingjing Shao |
| collection | DOAJ |
| description | Abstract In this paper, we introduce two variables norm functionals of τ-measurable operators and establish their joint log-convexity. Applications of this log-convexity will include interpolated Young, Heinz and Trace inequalities related to τ-measurable operators. Additionally, interpolated versions and their monotonicity will be presented as well. |
| first_indexed | 2024-12-11T02:40:48Z |
| format | Article |
| id | doaj.art-e3fd2c541672457e8e475c7657ca300e |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-11T02:40:48Z |
| publishDate | 2017-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-e3fd2c541672457e8e475c7657ca300e2022-12-22T01:23:36ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-12-012017111410.1186/s13660-017-1583-9Two variables functionals and inequalities related to measurable operatorsJingjing Shao0College of Mathematics and Statistics Science, Ludong UniversityAbstract In this paper, we introduce two variables norm functionals of τ-measurable operators and establish their joint log-convexity. Applications of this log-convexity will include interpolated Young, Heinz and Trace inequalities related to τ-measurable operators. Additionally, interpolated versions and their monotonicity will be presented as well.http://link.springer.com/article/10.1186/s13660-017-1583-9von Neumann algebraτ-measurable operatorsinterpolated inequalityYoung inequalityHeinz inequality |
| spellingShingle | Jingjing Shao Two variables functionals and inequalities related to measurable operators Journal of Inequalities and Applications von Neumann algebra τ-measurable operators interpolated inequality Young inequality Heinz inequality |
| title | Two variables functionals and inequalities related to measurable operators |
| title_full | Two variables functionals and inequalities related to measurable operators |
| title_fullStr | Two variables functionals and inequalities related to measurable operators |
| title_full_unstemmed | Two variables functionals and inequalities related to measurable operators |
| title_short | Two variables functionals and inequalities related to measurable operators |
| title_sort | two variables functionals and inequalities related to measurable operators |
| topic | von Neumann algebra τ-measurable operators interpolated inequality Young inequality Heinz inequality |
| url | http://link.springer.com/article/10.1186/s13660-017-1583-9 |
| work_keys_str_mv | AT jingjingshao twovariablesfunctionalsandinequalitiesrelatedtomeasurableoperators |