Some inequalities and majorization for products of τ-measurable operators
Abstract In this paper, for a semi-finite von Neumann algebra M $\mathcal{M}$ , we study the Young, Hölder and Heinz means inequalities and extend results for τ-measurable operators. We obtain some refinements of the those inequalities for τ-measurable operators. We have also presented several inequ...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-08-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-022-02850-9 |
| _version_ | 1817998909545381888 |
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| author | Zahra Maleki Khouzani Seyed Mahmoud Manjegani |
| author_facet | Zahra Maleki Khouzani Seyed Mahmoud Manjegani |
| author_sort | Zahra Maleki Khouzani |
| collection | DOAJ |
| description | Abstract In this paper, for a semi-finite von Neumann algebra M $\mathcal{M}$ , we study the Young, Hölder and Heinz means inequalities and extend results for τ-measurable operators. We obtain some refinements of the those inequalities for τ-measurable operators. We have also presented several inequalities in the sense of majorization. |
| first_indexed | 2024-04-14T03:00:35Z |
| format | Article |
| id | doaj.art-b8089ad55704465b85e418c99cebe793 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-14T03:00:35Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-b8089ad55704465b85e418c99cebe7932022-12-22T02:15:55ZengSpringerOpenJournal of Inequalities and Applications1029-242X2022-08-012022112010.1186/s13660-022-02850-9Some inequalities and majorization for products of τ-measurable operatorsZahra Maleki Khouzani0Seyed Mahmoud Manjegani1Department of Mathematical Sciences, Isfahan University of TechnologyDepartment of Mathematical Sciences, Isfahan University of TechnologyAbstract In this paper, for a semi-finite von Neumann algebra M $\mathcal{M}$ , we study the Young, Hölder and Heinz means inequalities and extend results for τ-measurable operators. We obtain some refinements of the those inequalities for τ-measurable operators. We have also presented several inequalities in the sense of majorization.https://doi.org/10.1186/s13660-022-02850-9Heinz inequalityYoung inequalityτ-measurable operatorSingular valuesMajorization |
| spellingShingle | Zahra Maleki Khouzani Seyed Mahmoud Manjegani Some inequalities and majorization for products of τ-measurable operators Journal of Inequalities and Applications Heinz inequality Young inequality τ-measurable operator Singular values Majorization |
| title | Some inequalities and majorization for products of τ-measurable operators |
| title_full | Some inequalities and majorization for products of τ-measurable operators |
| title_fullStr | Some inequalities and majorization for products of τ-measurable operators |
| title_full_unstemmed | Some inequalities and majorization for products of τ-measurable operators |
| title_short | Some inequalities and majorization for products of τ-measurable operators |
| title_sort | some inequalities and majorization for products of τ measurable operators |
| topic | Heinz inequality Young inequality τ-measurable operator Singular values Majorization |
| url | https://doi.org/10.1186/s13660-022-02850-9 |
| work_keys_str_mv | AT zahramalekikhouzani someinequalitiesandmajorizationforproductsoftmeasurableoperators AT seyedmahmoudmanjegani someinequalitiesandmajorizationforproductsoftmeasurableoperators |