Linear Maps Preserving Numerical Radius on Nest Algebras
✍ Scribed by Fangyan Lu
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2011
- Tongue
- English
- Weight
- 307 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0378-620X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper, we characterize rank-1 preserving linear maps between nest algebras acting on real or complex Banach spaces. As applications, we show that every weakly continuous and surjective local automorphism (or, anti-automorphism) on a nest algebra with an additional property is either an autom
Let X be a complex Banach space. If 8: B(X) Ä B(X) is a surjective linear map such that A and 8(A) have the same spectral radius for every A # B(X), then 8=c3 where 3 is either an algebra-automorphism or an antiautomorphism of B(X) and c is a complex constant such that |c|=1.