| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4620894 | Journal of Mathematical Analysis and Applications | 2008 | 10 Pages |
Abstract
The main result of the paper characterizes continuous bilinear maps ϕ from C1[0,1]×C1[0,1] into a Banach space X with the property that ϕ(f,g)=0 whenever fg=0. This is applied to the study of zero product preserving operators on C1[0,1], and operators on C1[0,1] satisfying a version of the condition of the locality of an operator.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
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