Banach limit

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:citation Stefan Banach, Théorie des opérations linéaires (1932)
gptkbp:codomain Real numbers
gptkbp:definedIn Space l-infinity
gptkbp:domain Bounded sequences of real numbers
gptkbp:field Functional analysis
https://www.w3.org/2000/01/rdf-schema#label Banach limit
gptkbp:introducedIn 1932
gptkbp:isA Linear functional
gptkbp:namedAfter gptkb:Stefan_Banach
gptkbp:property Extends the usual limit
Norm is 1
Positive linear functional
Shift-invariant
gptkbp:usedIn gptkb:Summability_theory
Ergodic theory
Banach space theory
gptkbp:bfsParent gptkb:Summability_theory
gptkbp:bfsLayer 7