Uniform boundedness principle
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
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| gptkbp:alsoKnownAs |
gptkb:Banach–Steinhaus_theorem
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| gptkbp:appliesTo |
gptkb:Banach_spaces
|
| gptkbp:field |
functional analysis
|
| gptkbp:formedBy |
gptkb:Stefan_Banach
gptkb:Hugo_Steinhaus 1927 |
| https://www.w3.org/2000/01/rdf-schema#label |
Uniform boundedness principle
|
| gptkbp:publishedIn |
gptkb:Studia_Mathematica
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| gptkbp:relatedTo |
gptkb:closed_graph_theorem
gptkb:open_mapping_theorem |
| gptkbp:state |
If a family of continuous linear operators from a Banach space to a normed vector space is pointwise bounded, then it is uniformly bounded.
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| gptkbp:usedIn |
analysis of operator families
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| gptkbp:bfsParent |
gptkb:Banach_spaces
|
| gptkbp:bfsLayer |
5
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