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Inequalities for operator space numerica...
Moslehian, Mohammad ...
Inequalities for operator space numerical radius of $2\times 2$ block matrices by Moslehian, Mohammad Sal ( Author )
N.A
20-07-2015
In this paper, we study the relationship between operator space norm and operator space numerical radius on the matrix space Mn(X), when X is a numerical radius operator space. Moreover, we establish several inequalities for operator space numerical radius and the maximal numerical radius norm of 2×2 operator matrices and their off-diagonal parts. One of our main results states that if (X,(On)) is an operator space, then 12max(Wmax(x1+x2),Wmax(x1−x2))≤Wmax([0x2x10])≤12(Wmax(x1+x2)+Wmax(x1−x2)) for all x1,x2∈Mn(X).
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MYR 0.00
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https://arxiv.org/abs/1507.05549
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