Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773065 | Linear Algebra and its Applications | 2017 | 15 Pages |
Abstract
We give several sharp numerical radius inequalities for certain 2Ã2 operator matrices. Among other inequalities, it is shown that if A and B be operators in B(H). Thenw([AB00])â¤12(âAâ+âAAâ+BBââ12) and2w([0AB0])â¤maxâ¡(âAâ,âBâ)+12(â|A|t|Bâ|1âtâ+â|B|t|Aâ|1âtâ) for all tâ[0,1], where w(â
) and ââ
â denote the numerical radius and the usual operator norm, respectively. The second inequality refines and generalizes earlier inequalities.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Khalid Shebrawi,