A Characterization of Banach Spaces Containing l 1
Work
Year: 1974
Type: article
Abstract: It is proved that a Banach space contains a subspace isomorphic to l(1) if (and only if) it has a bounded sequence with no weak-Cauchy subsequence. The proof yields that a sequence of subsets of a giv... more
Author Haskell P. Rosenthal
Cites: 3
Cited by: 484
Related to: 10
FWCI: 9.532
Citation percentile (by year/subfield): 99.6
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green