2016
DOI: 10.1186/s13660-016-1108-y
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New norm equalities and inequalities for operator matrices

Abstract: We prove new inequalities for general 2 × 2 operator matrices. These inequalities, which are based on classical convexity inequalities, generalize earlier inequalities for sums of operators. Some other related results are also presented. Also, we prove a numerical radius equality for a 5 × 5 tridiagonal operator matrix.MSC: 47A12; 47A30; 47A63; 47B15; 47B36

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Section: Introductionmentioning
confidence: 99%
“…Ladder drill is a form of training tool that resembles steps made of rope and placed on the floor, with the user using one or two feet. This exercise cannot be separated from the strength of the lower extremity muscles (Bani & Widodo, 2016) Ladder drill is a form of training aid that resembles a ladder, which is made of rope and placed on the floor by stepping on one or two feet (Chandrakumar & Ramesh, 2015). Ladder drill training can be used in various sports, especially badminton, because ladder drill training can increase body agility.…”
Section: Introductionmentioning
confidence: 99%