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Commutators on $L_p$, $1\le p<\infty$
| Content Provider | Semantic Scholar |
|---|---|
| Author | Dosev, Detelin Johnson, William B. Schechtman, Gideon |
| Copyright Year | 2011 |
| Abstract | The operators on $\LP=L_p[0,1]$, $1\leq p<\infty$, which are not commutators are those of the form $\lambda I + S$ where $\lambda\neq 0$ and $S$ belongs to the largest ideal in $\opLP$. The proof involves new structural results for operators on $\LP$ which are of independent interest. |
| Starting Page | 101 |
| Ending Page | 127 |
| Page Count | 27 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/s0894-0347-2012-00748-6 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1102.0137v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/s0894-0347-2012-00748-6 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |