Bounded Linear Operators
For a bounded linear operator A and the operator norm ||ยท||, again we have
A bounded operator (on a complex Hilbert space) called a spectraloid operator if its spectral radius coincides with its numerical radius. An example of such an operator is a normal operator.
Read more about this topic: Spectral Radius
Famous quotes containing the word bounded:
“Me, what’s that after all? An arbitrary limitation of being bounded by the people before and after and on either side. Where they leave off, I begin, and vice versa.”
—Russell Hoban (b. 1925)