Versions of Inequalities Related to p-Schatten Norm
Joint Authors
Gao, Fugen
Liu, Xiaoxiao
Tian, Mengyu
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-24
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
In this paper, we investigate some operator inequalities for the p-Schatten norm and obtain some other versions of these inequalities when parameters taking values in different regions.
Let A1,…,An, B1,…,Bn∈BpH such that ∑i,j=1nAi∗Bj=0.
Then, for p≥2, p≥λ>0, and 0<μ≤2, n21/p−1/λ∑i,j=1nAi±Bjpλ1/λ≤n1/2∑i=1nAi2+∑i=1nBi2p/21/2≤21/2−μ/4n1−μ/4∑i=1nAip4/μ+∑i=1nBip4/μμ/4.
For 0
Moreover, we get some applications of our results.
American Psychological Association (APA)
Gao, Fugen& Liu, Xiaoxiao& Tian, Mengyu. 2020. Versions of Inequalities Related to p-Schatten Norm. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1186027
Modern Language Association (MLA)
Gao, Fugen…[et al.]. Versions of Inequalities Related to p-Schatten Norm. Journal of Function Spaces No. 2020 (2020), pp.1-5.
https://search.emarefa.net/detail/BIM-1186027
American Medical Association (AMA)
Gao, Fugen& Liu, Xiaoxiao& Tian, Mengyu. Versions of Inequalities Related to p-Schatten Norm. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-5.
https://search.emarefa.net/detail/BIM-1186027
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186027