closed graph theorem

GPTKB entity

Statements (13)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo gptkb:Banach_spaces
gptkbp:field functional analysis
gptkbp:firstPublished 1930s
gptkbp:namedAfter gptkb:graph
gptkbp:relatedTo gptkb:Hahn–Banach_theorem
gptkb:open_mapping_theorem
bounded linear operator
continuous linear operator
gptkbp:state A linear operator between Banach spaces is bounded if and only if its graph is closed.
gptkbp:bfsParent gptkb:Open_mapping_theorem
gptkbp:bfsLayer 6
https://www.w3.org/2000/01/rdf-schema#label closed graph theorem