Abstract
The Baire Category Theorem says that a complete metric space cannot be the union of a countable number of nowhere dense sets. This has several very useful consequences. One of them is the Uniform Boundedness Principle (U.B.P.) also called the Banach-Steinhaus Theorem.
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© 2009 Hindustan Book Agency
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Bhatia, R. (2009). The Uniform Boundedness Principle. In: Notes on Functional Analysis. Texts and Readings in Mathematics, vol 50. Hindustan Book Agency, Gurgaon. https://doi.org/10.1007/978-93-86279-45-3_5
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DOI: https://doi.org/10.1007/978-93-86279-45-3_5
Publisher Name: Hindustan Book Agency, Gurgaon
Print ISBN: 978-81-85931-89-0
Online ISBN: 978-93-86279-45-3
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