Open Mapping Theorem

Hideki Sakurai; Hisayoshi Kunimune; Yasunari Shidama

doi:10.2478/v10037-008-0048-5

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Open Mapping Theorem

Formalized Mathematics

Volume 16 (2008): Issue 4 (December 2008)

By: Hideki Sakurai, Hisayoshi Kunimune and Yasunari Shidama

Open Access

|Mar 2009

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

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Articles in this issue

DOI: https://doi.org/10.2478/v10037-008-0048-5 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630

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Language: English

Page range: 401 - 403

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 4 (December 2008)