Geodesic
Commutators on 𝐿_{𝑝}, 1≤𝑝ˆž
Dosev, Detelin1 ; Johnson, William2 ; Schechtman, Gideon1
1 Department of Mathematics, Weizmann Institute of Science, Rehovot, Israel
2 Department of Mathematics, Texas A&M University, College Station, Texas 77843
Journal of the American Mathematical Society, Tome 26 (2013) no. 1, pp. 101-127

Voir la notice de l'article provenant de la source American Mathematical Society

The operators on $L_p=L_p[0,1]$, $1\leq p\infty$, which are not commutators are those of the form $\lambda I + S$, where $\lambda \neq 0$ and $S$ belongs to the largest ideal in $\mathcal {L}(L_p)$. The proof involves new structural results for operators on $L_p$ which are of independent interest.
DOI : 10.1090/S0894-0347-2012-00748-6

Dosev, Detelin 1 ; Johnson, William 2 ; Schechtman, Gideon 1

1 Department of Mathematics, Weizmann Institute of Science, Rehovot, Israel
2 Department of Mathematics, Texas A&M University, College Station, Texas 77843 
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Dosev, Detelin; Johnson, William; Schechtman, Gideon. Commutators on 𝐿_{𝑝}, 1≤𝑝<∞. Journal of the American Mathematical Society, Tome 26 (2013) no. 1, pp. 101-127. doi: 10.1090/S0894-0347-2012-00748-6

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