|
|
| |
| Banach Algebra Dynamical Systems? |
| |
Citation： |
Dong LI,Shengzhi XU.Banach Algebra Dynamical Systems?[J].Chinese Annals of Mathematics B,2014,35(2):285~300 |
| Page view： 1881
Net amount： 1701 |
Authors： |
Dong LI; Shengzhi XU; |
Foundation： |
National Natural Science Foundation of China (No. 10971023) andthe Shanghai Natural Science Foundation of China (No. 09ZR1402000). |
|
|
| Abstract： |
This paper generalizes the C ?-dynamical system to the Banach algebra dynamical
system (A,G, α) and define the crossed product A α G of a given Banach algebra
dynamical system (A,G, α). Then the representation of A α G is described when A admits
a bounded left approximate identity. In a natural way, the authors define the reduced
crossed product A α,r G and discuss the question when A α G coincides with A α,r G. |
Keywords： |
Banach algebra dynamical systems, Representation, Crossed product,Left multiplier, Reduced crossed product |
Classification： |
46H15, 46L55 |
|
|
Download PDF Full-Text
|
|
|
|
