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Uniform boundedness
In mathematics, bounded functions are functions for which there exists a lower bound and an upper bound, in other words, a constant that is larger than the absolute value of any value of this function. If we consider a family of bounded functions, this constant can vary across functions in the family. If it is possible to find one constant that bounds all functions, this family of functions is uniformly bounded.
The uniform boundedness principle in functional analysis provides sufficient conditions for uniform boundedness of a family of operators.
== Definition ==
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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