Back to Search
Start Over
On Some Inequalities for the Generalized Euclidean Operator Radius
- Source :
- Axioms, Vol 12, Iss 6, p 542 (2023)
- Publication Year :
- 2023
- Publisher :
- MDPI AG, 2023.
-
Abstract
- In the literature, there are many criteria to generalize the concept of a numerical radius; one of the most recent and interesting generalizations is the so-called generalized Euclidean operator radius, which reads: ωpT1,⋯,Tn:=supx=1∑i=1nTix,xp1/p,p≥1, for all Hilbert space operators T1,⋯,Tn. Simply put, it is the numerical radius of multivariable operators. This study establishes a number of new inequalities, extensions, and generalizations for this type of numerical radius. More precisely, by utilizing the mixed Schwarz inequality and the extension of Furuta’s inequality, some new refinement inequalities are obtained for the numerical radius of multivariable Hilbert space operators. In the case of n=1, the resulting inequalities could be considered extensions and generalizations of the classical numerical radius.
- Subjects :
- Euclidean operator radius
numerical radius
self-adjoint operator
Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 12060542 and 20751680
- Volume :
- 12
- Issue :
- 6
- Database :
- Directory of Open Access Journals
- Journal :
- Axioms
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.1c250579f560402c893b55931a1575cc
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/axioms12060542