Uniform Boundedness Principle

Hideki Sakurai; Hisayoshi Kunimune; Yasunari Shidama

doi:10.2478/v10037-008-0003-5

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Uniform Boundedness Principle

Formalized Mathematics

Volume 16 (2008): Issue 1 (March 2008)

By: Hideki Sakurai, Hisayoshi Kunimune and Yasunari Shidama

Open Access

|Mar 2009

Abstract

In this article at first, we proved the lemma of the inferior limit and the superior limit. Next, we proved the Baire category theorem (Banach space version) [20], [9], [3], quoted it and proved the uniform boundedness principle. Moreover, the proof of the Banach-Steinhaus theorem is added.

MML identifier: LOPBAN 5, version: 7.8.05 4.89.993

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Articles in this issue

DOI: https://doi.org/10.2478/v10037-008-0003-5 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630

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Language: English

Page range: 19 - 21

Published on: Mar 20, 2009

Published by: University of Białystok

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Related subjects:

Mathematics,

Logic and set theory,

Computer sciences,

Artificial intelligence

© 2009 Hideki Sakurai, Hisayoshi Kunimune, Yasunari Shidama, published by University of Białystok
This work is licensed under the Creative Commons License.

Volume 16 (2008): Issue 1 (March 2008)