Displaying similar documents to “An application of the Gelfand-Mazur theorem: the fundamental theorem of algebra revisited.”

Ideally factored algebras.

Amyari, M., Mirzavaziri, M. (2008)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Banach Algebra of Bounded Functionals

Yasunari Shidama, Hikofumi Suzuki, Noboru Endou (2008)

Formalized Mathematics

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In this article, we describe some basic properties of the Banach algebra which is constructed from all bounded functionals.MML identifier: C0SP1, version: 7.8.10 4.99.1005

A converse to Amir-Lindenstrauss theorem in complex Banach spaces.

Ondrej F. K. Kalenda (2006)

RACSAM

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We show that a complex Banach space is weakly Lindelöf determined if and only if the dual unit ball of any equivalent norm is weak* Valdivia compactum. We deduce that a complex Banach space X is weakly Lindelöf determined if and only if any nonseparable Banach space isomorphic to a complemented subspace of X admits a projectional resolution of the identity. These results complete the previous ones on real spaces.

Open Mapping Theorem

Hideki Sakurai, Hisayoshi Kunimune, Yasunari Shidama (2008)

Formalized Mathematics

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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