Commutators on L_p, 1le p<infty
classification
🧮 math.FA
keywords
commutatorsinftylambdaoperatorsbelongsformidealindependent
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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.
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