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Numerical range and numerical radius for some operators

✍ Scribed by M.T. Karaev; N.Sh. Iskenderov


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
162 KB
Volume
432
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES


Symbolic calculus of operators with unit
✍ S.W. Drury πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 119 KB

Let T be a linear operator on a complex Hilbert space with numerical radius bounded by one. We study the norm and numerical range of p(T ) where p is a disk algebra function satisfying sup |z| 1 |p(z)| 1 and p(0) is known. As corollaries we are able to establish for p an arbitrary complex polynomial