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http://hdl.handle.net/11320/3554
Pełny rekord metadanych
Pole DC | Wartość | Język |
---|---|---|
dc.contributor.author | Kanazashi, Katuhiko | - |
dc.contributor.author | Endou, Noboru | - |
dc.contributor.author | Shidama, Yasunari | - |
dc.date.accessioned | 2015-12-02T18:02:12Z | - |
dc.date.available | 2015-12-02T18:02:12Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | Formalized Mathematics, Volume 18, Issue 1, 2010, Pages 11-16 | - |
dc.identifier.issn | 1426-2630 | - |
dc.identifier.issn | 1898-9934 | - |
dc.identifier.uri | http://hdl.handle.net/11320/3554 | - |
dc.description.abstract | In this article, we give a definition of a functional space which is constructed from all continuous functions defined on a compact topological space. We prove that this functional space is a Banach algebra. Next, we give a definition of a function space which is constructed from all real-valued continuous functions with bounded support. We prove that this function space is a real normed space. | - |
dc.language.iso | en | - |
dc.publisher | De Gruyter Open | - |
dc.title | Banach Algebra of Continuous Functionals and the Space of Real-Valued Continuous Functionals with Bounded Support | - |
dc.type | Article | - |
dc.identifier.doi | 10.2478/v10037-010-0002-1 | - |
dc.description.Affiliation | Kanazashi Katuhiko - Shizuoka High School, Japan | - |
dc.description.Affiliation | Endou Noboru - Gifu National College of Technology, Japan | - |
dc.description.Affiliation | Shidama Yasunari - Shinshu University, Nagano, Japan | - |
dc.description.references | Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990. | - |
dc.description.references | Czesław Byliński. Binary operations. Formalized Mathematics, 1(1):175-180, 1990. | - |
dc.description.references | Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990. | - |
dc.description.references | Czesław Byliński. Partial functions. Formalized Mathematics, 1(2):357-367, 1990. | - |
dc.description.references | Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990. | - |
dc.description.references | Czesław Byliński and Piotr Rudnicki. Bounding boxes for compact sets in ε2. Formalized Mathematics, 6(3):427-440, 1997. | - |
dc.description.references | Agata Darmochwał. Compact spaces. Formalized Mathematics, 1(2):383-386, 1990. | - |
dc.description.references | Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990. | - |
dc.description.references | Eugeniusz Kusak, Wojciech Leończuk, and Michał Muzalewski. Abelian groups, fields and vector spaces. Formalized Mathematics, 1(2):335-342, 1990. | - |
dc.description.references | Henryk Oryszczyszyn and Krzysztof Prażmowski. Real functions spaces. Formalized Mathematics, 1(3):555-561, 1990. | - |
dc.description.references | Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223-230, 1990. | - |
dc.description.references | Jan Popiołek. Real normed space. Formalized Mathematics, 2(1):111-115, 1991. | - |
dc.description.references | Yasunari Shidama. The Banach algebra of bounded linear operators. Formalized Mathematics, 12(2):103-108, 2004. | - |
dc.description.references | Yasunari Shidama. Banach space of bounded linear operators. Formalized Mathematics, 12(1):39-48, 2004. | - |
dc.description.references | Yasunari Shidama, Hikofumi Suzuki, and Noboru Endou. Banach algebra of bounded functionals. Formalized Mathematics, 16(2):115-122, 2008, doi:10.2478/v10037-008-0017-z. | - |
dc.description.references | Andrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329-334, 1990. | - |
dc.description.references | Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115-122, 1990. | - |
dc.description.references | Wojciech A. Trybulec. Groups. Formalized Mathematics, 1(5):821-827, 1990. | - |
dc.description.references | Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990. | - |
dc.description.references | Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. | - |
Występuje w kolekcji(ach): | Formalized Mathematics, 2010, Volume 18, Issue 1 |
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v10037-010-0002-1.pdf | 282,64 kB | Adobe PDF | Otwórz |
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