A new proof of James' sup theorem
Marianne Morillon
Abstract
We provide a new proof of James' sup theorem for (non necessarily separable) Banach spaces. One of the ingredients is the following generalization of a theorem of Hagler and Johnson (1977) : "If a normed space E does not contain any asymptotically isometric copy of 1(), then every bounded sequence of E' has a normalized block sequence pointwise converging to 0".
Create a lesson
Related papers
Every compact operator is a commutator of compact operators
Zhichao Liu
Normal-Direction Energy and Fourier Restriction for Convex Planar Curves
Vicente Vergara
Zero-product problem for Toeplitz operators on the Fock space
Jie Qin
The best Musielak-Orlicz approximation by linear subspaces
Juan Costa Ponce, Sergio Favier, Fabián Levis
Lévy measures for Dirichlet-type spaces on the unit bidisc
Santu Bera, Shanola S. Sequeira
Quantum expanders and dimension-free commutator bounds
Tuan Tran