KnowraUniform boundedness principleLinked fromLinked fromThe 7 pages that link to Uniform boundedness principle, each with the reason it gives.All 7Broader topic 1Related 5Compared with 1Banach spaceRelated: It is the common name for the Banach–Steinhaus theorem, a central consequence of completeness.Baire category theoremRelated: Its proof uses the Baire category theorem to obtain a neighborhood with a uniform bound.Hahn–Banach theoremRelated: It complements Hahn–Banach among the foundational principles of functional analysis.Open mapping theoremRelated: It is a companion theorem derived from the same Baire-category foundation.Banach–Steinhaus theoremRelated: It is the theorem’s widely used alternate name.