Gowers' dichotomy theorem

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:author gptkb:W._T._Gowers
gptkbp:field functional analysis
Banach space theory
https://www.w3.org/2000/01/rdf-schema#label Gowers' dichotomy theorem
gptkbp:namedAfter gptkb:W._T._Gowers
gptkbp:publishedIn gptkb:Annals_of_Mathematics
gptkbp:relatedTo gptkb:Banach_spaces
hereditarily indecomposable space
unconditional basic sequence
gptkbp:significance solved a long-standing open problem in Banach space theory
gptkbp:state Every infinite-dimensional Banach space contains either an unconditional basic sequence or a hereditarily indecomposable subspace.
gptkbp:yearProved 1992
gptkbp:bfsParent gptkb:Sir_William_Timothy_Gowers
gptkbp:bfsLayer 6