Abstract
We show that a bounded linear operator on a dual Banach space X may be perturbed by a compact operator of arbitrarily small norm to yield an operator which attains its numerical radius provided the weak star and norm topologies coincide on the unit sphere of X.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 31-34 |
| Number of pages | 4 |
| Journal | Bulletin of the Australian Mathematical Society |
| Volume | 48 |
| Issue number | 1 |
| DOIs | |
| State | Published - Aug 1993 |
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