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Uniform Boundedness Principle
High Quality Content by WIKIPEDIA articles! In mathematics, the uniform boundedness principle or Banach-Steinhaus theorem is one of the fundamental results in functional analysis. Together with the Hahn-Banach theorem and the open mapping theorem, it is considered one of the cornerstones of the field. In its basic form, it asserts that for a family of continuous linear operators (and thus bounded operators) whose domain is a Banach space, pointwise boundedness is equivalent to uniform boundedness in operator norm.
Book Details
- Publisher: Book on Demand Ltd.
- Publish Date: Jan 22nd, 2013
- Pages: 88
- Language: English
- Edition: undefined - undefined
- Dimensions: 11.00in - 8.25in - 0.18in - 0.48lb
- EAN: 9785511794747