1973/01/01 by T. Figiel, William B. Johnson · 2 citations
Mathematics · #Approximation Theory and Sequence Spaces #Advanced Banach Space Theory #Mathematical Analysis and Transform Methods
paper · pdf · doi:10.1090/s0002-9939-1973-0341032-5
openalex publication_date 1973/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
There is a Banach space which has the approximation property but fails the bounded approximation property. The space can be chosen to have separable conjugate, hence there is a nonnuclear operator on the space which has nuclear adjoint. This latter result solves a problem of Grothendieck [