Dual Spaces and Hahn-Banach Theorem

Pole DC	Wartość	Język
dc.contributor.author	Narita, Keiko	-
dc.contributor.author	Endou, Noboru	-
dc.contributor.author	Shidama, Yasunari	-
dc.date.accessioned	2015-12-09T20:40:38Z	-
dc.date.available	2015-12-09T20:40:38Z	-
dc.date.issued	2014	-
dc.identifier.citation	Formalized Mathematics, Volume 22, Issue 1, 2014, Pages 69-77	-
dc.identifier.issn	1426-2630	-
dc.identifier.issn	1898-9934	-
dc.identifier.uri	http://hdl.handle.net/11320/3703	-
dc.description.abstract	In this article, we deal with dual spaces and the Hahn-Banach Theorem. At the first, we defined dual spaces of real linear spaces and proved related basic properties. Next, we defined dual spaces of real normed spaces. We formed the definitions based on dual spaces of real linear spaces. In addition, we proved properties of the norm about elements of dual spaces. For the proof we referred to descriptions in the article [21]. Finally, applying theorems of the second section, we proved the Hahn-Banach extension theorem in real normed spaces. We have used extensively used [17].	-
dc.description.sponsorship	This work was supported by JSPS KAKENHI 22300285, 23500029.	-
dc.language.iso	en	-
dc.publisher	De Gruyter Open	-
dc.subject	dual space	-
dc.subject	Hahn-Banach extension	-
dc.title	Dual Spaces and Hahn-Banach Theorem	-
dc.type	Article	-
dc.identifier.doi	10.2478/forma-2014-0007	-
dc.description.Affiliation	Narita Keiko - Hirosaki-city Aomori, Japan	-
dc.description.Affiliation	Endou Noboru - Gifu National College of Technology Gifu, Japan	-
dc.description.Affiliation	Shidama Yasunari - Shinshu University Nagano, Japan	-
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