A note on non-amenability of B(ℓ_p) for p=1,2

2004/01/12 by Narutaka Ozawa, Ozawa, Narutaka
Mathematics · #46B07 #46H20 #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:46B07 #msc:46H20

paper · pdf · doi:10.48550/arxiv.math/0401122

9 pages

arxiv created 2004/01/12 · openalex publication_date 2004/01/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is an expository note on non-amenabilty of the Banach algebra B(ℓ_p) for p=1,2. These were proved respectively by Connes (p=2) and Read (p=1) via very different methods. We give a single proof which reproves both.

Citations

• The distortion problem

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