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uniform boundedness principle

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Also known as Banach–Steinhaus theorem, Banach-Steinhaus theorem

theorem that a pointwise bounded set of linear operators on a Banach space is uniformly bounded in operator norm

In the Vinony graph

Within Vinony's link graph, uniform boundedness principle is referenced by 456 other articles, and connects out to meagre set, continuous linear operator and normed vector space.

Vinony files it under Functional analysis, Mathematical principles and Template SpringerEOM with broken ref.

Its subject is documented across 21 Wikipedia language editions.

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Instance of
theorem
Named after
Hugo Steinhaus
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maintained by WikiProject
WikiProject Mathematics
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