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Open Mapping Theorem Cover

Abstract

In this article we formalize one of the most important theorems of linear operator theory the Open Mapping Theorem commonly used in a standard book such as [8] in chapter 2.4.2. It states that a surjective continuous linear operator between Banach spaces is an open map.

MML identifier: LOPBAN 6, version: 7.10.01 4.111.1036

DOI: https://doi.org/10.2478/v10037-008-0048-5 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 401 - 403
Published on: Mar 20, 2009
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 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 4 (December 2008)