| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4614973 | Journal of Mathematical Analysis and Applications | 2015 | 8 Pages |
Abstract
Let X be a complex Banach space of dimension greater than one, and denote by B(X)B(X) the algebra of all the bounded linear operators on X . It is shown that if ϕ:B(X)→B(X)ϕ:B(X)→B(X) is a multiplicative map (not assumed linear) and if ϕ is sufficiently close to a linear automorphism of B(X)B(X) in some uniform sense, then it is actually an automorphism.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Lizhong Huang, Lin Chen, Fangyan Lu,