MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

Extreme operator-valued continuous maps

R. Grz⇓ślewicz Institute of Mathematics, Technical University

TBD mathscidoc:1701.332743

Arkiv for Matematik, 29, (1), 73-81, 1986.9
Let ℒ($H$) denote the space of operators on a Hilbert space$H$. We show that the extreme points of the unit ball of the space of continuous functions$C(K, ℒ(H))$($K$-compact Hausdorff) are precisely the functions with extremal values. We show also that these extreme points are (a) strongly exposed if and only if dim$H$<∞ and card$K$<∞, (b) exposed if and only if$H$is separable and$K$carries a strictly positive measure.
No keywords uploaded!
[ Download ] [ 2017-01-08 20:35:34 uploaded by arkivadmin ] [ 870 downloads ] [ 0 comments ] 
@inproceedings{r.1986extreme,
  title={Extreme operator-valued continuous maps},
  author={R. Grz⇓ślewicz},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203534490675552},
  booktitle={Arkiv for Matematik},
  volume={29},
  number={1},
  pages={73-81},
  year={1986},
}
R. Grz⇓ślewicz. Extreme operator-valued continuous maps. 1986. Vol. 29. In Arkiv for Matematik. pp.73-81. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203534490675552.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved