Banach’s Continuous Inverse Theorem and Closed Graph Theorem

• Autorzy: Hideki Sakurai , Hiroyuki Okazaki , Yasunari Shidama
• Języki publikacji: EN

Abstrakty

EN

In this article we formalize one of the most important theorems of linear operator theory - the Closed Graph Theorem commonly used in a standard text book such as [10] in Chapter 24.3. It states that a surjective closed linear operator between Banach spaces is bounded.

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2012
• Tom: 20
• Numer: 4
• Strony: 271-274

Daty

wydano

2012-12-01

online

2013-02-02

Twórcy

autor

Hideki Sakurai

• 406-3, Haneo, Naganohara Agatuma, Gunma, Japan

autor

Hiroyuki Okazaki

• Shinshu University, Nagano, Japan

autor

Yasunari Shidama

• Shinshu University, Nagano, Japan

Bibliografia

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Identyfikatory

DOI

10.2478/v10037-012-0032-y