Numerical radius inequalities for Hilbert space operators
Fuad Kıttaneh
Abstract
Fuad Kıttaneh
Abstract
It is shown that if $A$ is a bounded linear operator on a complex Hilbert space, then $$ {1 \over 4}\| {A^* A + AA^* } \| \le ( {w(A )} )^2 \le {1 \over 2}\| {A^* A + AA^* }\| , $$ where $w(\cdot )$ and $\| \cdot \| $ are the numerical radius and the u
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It is shown that if $A$ is a bounded linear operator on a complex Hilbert space, then $$ {1 \over 4}\| {A^* A + AA^* } \| \le ( {w(A )} )^2 \le {1 \over 2}\| {A^* A + AA^* }\| , $$ where $w(\cdot )$ and $\| \cdot \| $ are the numerical radius and the u
Key concepts: Mathematics, Hilbert space, Bounded operator, Linear operators, RADIUS, Bounded function, Operator (biology), Operator space