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Showing 2010 · math.FAShow all
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math.FA2010★ 17 cited
Numerical shadows: measures and densities on the numerical range
Charles F. Dunkl, Piotr Gawron, John A. Holbrook +2
For any operator acting on an -dimensional Hilbert space we introduce its numerical shadow, which is a probability measure on the complex plane supported by the numeri…
math.FA2010
Minimal projections with respect to various norms
Asuman Guven Aksoy, Grzegorz Lewicki
We will show that a theorem of Rudin \cite{wr1}, \cite{wr}, permits us to determine minimal projections not only with respect to the operator norm but with respect to quasi-norms i…
math.FA2010
Best Approximation in Numerical Radius
Asuman Guven Aksoy, Grzegorz Lewicki
Let be a reflexive Banach space. In this paper we give a necessary and sufficient condition for an operator to have the best approximation in numerical ra…