Uniform Boundedness
In mathematics, bounded functions are functions for which there exists a lower bound and an upper bound, in other words, a constant which is larger than the absolute value of any value of this function. If we consider a family of bounded functions, this constant can vary between functions. If it is possible to find one constant which 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.
Read more about Uniform Boundedness: Examples
Famous quotes containing the word uniform:
“I’ve always been impressed by the different paths babies take in their physical development on the way to walking. It’s rare to see a behavior that starts out with such wide natural variation, yet becomes so uniform after only a few months.”
—Lawrence Kutner (20th century)