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
✦ LIBER ✦
Shorted operators and the structure of operators with numerical radius one
✍ Scribed by John W. Bunce
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 1988
- Tongue
- English
- Weight
- 131 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0378-620X
No coin nor oath required. For personal study only.
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