uniform boundedness principle

(redirected from Principle of uniform boundedness)

uniform boundedness principle

[′yü·nə‚fȯrm ′bau̇n·dəd·nəs ‚prin·sə·pəl]
(mathematics)
A family of pointwise bounded, real-valued continuous functions on a complete metric space X is uniformly bounded on some open subset of X.
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