Date
Tue, 23 Oct 2012
Time
17:00 - 18:23
Location
L3
Speaker
Vladimir Muller
Organisation
Czech Academy of Sciences

Let $T_1,\dots,T_n$ be bounded linear operators on a complex Hilbert space

$H$. We study the question whether it is possible to find a unit vector

$x\in H$ such that $|\langle T_jx, x\rangle|$ is large for all $j$. Thus

we are looking for a generalization

of the well-known fact for $n = 1$ that the numerical radius $w(T)$ of a

single operator T satisfies $w(T)\ge \|T\|/2$.

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