“Uniform Boundedness Principle”的概念、定义、习题解题方法及翻译-数学辞典

单词

Uniform Boundedness Principle

释义

Uniform Boundedness Principle

A ``pointwise-bounded'' family of continuous linear Operators from a Banach Space to aNormed Space is ``uniformly bounded.'' Symbolically, if is Finite for each in theunit Ball, then is Finite. The theorem is also called the Banach-Steinhaus Theorem.

References

Zeidler, E. Applied Functional Analysis: Applications to Mathematical Physics. New York: Springer-Verlag, 1995.

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