Probabilistic norm of operators and resonance theorems
โ Scribed by Xiao Jianzhong; Zhu Xinghua
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 389 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0253-4827
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let A be a standard operator algebra acting on a (real or complex) normed space E. For two n-tuples A = (A 1 , . . . , A n ) and B = (B 1 , . . . , B n ) of elements in A, we define the elementary operator R A,B on A by the relation R A,B (X) = n i=1 A i XB i for all X in A. For a single operator A
There is one to one correspondence between positive operator monotone functions on (0, w) and operator connections. For a symmetric connection a, it is proved that the map X --+ (AaX)aยฑ(BaX) from positive operators on a Hilbert space to itself, has a unique fixed point. Here a ยฑ denotes the dual of