On the number of non isomorphic subspaces of a Banach space
Valentin Ferenczi, Christian Rosendal
Abstract
If a Banach space has an unconditional basis it either contains a continuum of non isomorphic subspaces or is isomorphic to its square and hyperplanes and satisfies other regularity properties. An HI Banach space contains a continuum of non isomorphic subspaces.
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