Commutators on L_p, 1≤ p<∞

2011/02/01 by Detelin Dosev, Dosev, Detelin, William B. Johnson +3
Mathematics · #46E30 #47B47 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:46E30 #msc:47B47

paper · pdf · doi:10.48550/arxiv.1102.0137

arxiv created 2011/02/01 · openalex publication_date 2011/02/01 · arxiv updated 2011/02/02 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

The operators on \LP=L_p[0,1], 1≤ p<∞, which are not commutators are those of the form λI + S where λ≠ 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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