Some generalizations of real power form for Young-type inequalities and their applications

In this paper we propose some generalizations of real power form for Young-type inequalities which are much better than the recent results developed by many researchers. Our approaching method, together with idea on linear interpolation of Choi et al. (2017) [3], allows us to build very strict impro...

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Bibliographic Details
Published inLinear algebra and its applications Vol. 656; pp. 368 - 384
Main Authors Huy, Duong Quoc, Van, Doan Thi Thuy, Xinh, Dinh Thi
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.01.2023
Subjects
Operator inequality
Positive operator
Unitarily invariant norm
Weak sub-majorization
Young inequality
Unitarily invariant norm
Young inequality
Weak sub-majorization
15A39
Operator inequality
15B48
15A60
47A30
47A63
Positive operator
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Summary:In this paper we propose some generalizations of real power form for Young-type inequalities which are much better than the recent results developed by many researchers. Our approaching method, together with idea on linear interpolation of Choi et al. (2017) [3], allows us to build very strict improvements of real power form for Young-type inequalities. As applications, we give the operator versions and inequalities involving unitarily invariant norms and determinants of matrices.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2022.10.003