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  3. Formalized Mathematics
  4. Formalized Mathematics, 2012, Volume 20, Issue 1

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    • Proszę używać tego identyfikatora do cytowań lub wstaw link do tej pozycji: http://hdl.handle.net/11320/3623
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    Pole DCWartośćJęzyk
    dc.contributor.authorKanazashi, Katuhiko-
    dc.contributor.authorOkazaki, Hiroyuki-
    dc.contributor.authorShidama, Yasunari-
    dc.date.accessioned2015-12-06T19:05:18Z-
    dc.date.available2015-12-06T19:05:18Z-
    dc.date.issued2012-
    dc.identifier.citationFormalized Mathematics, Volume 20, Issue 1, 2012, Pages 15-22-
    dc.identifier.issn1426-2630-
    dc.identifier.issn1898-9934-
    dc.identifier.urihttp://hdl.handle.net/11320/3623-
    dc.description.abstractIn this article, first we give a definition of a functional space which is constructed from all complex-valued 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 complex-valued continuous functions with bounded support. We also prove that this function space is a complex normed space.-
    dc.language.isoen-
    dc.publisherDe Gruyter Open-
    dc.titleFunctional Space C(ω), C0(ω)-
    dc.typeArticle-
    dc.identifier.doi10.2478/v10037-012-0003-3-
    dc.description.AffiliationKanazashi Katuhiko - Shizuoka City, Japan-
    dc.description.AffiliationOkazaki Hiroyuki - Shinshu University, Nagano, Japan-
    dc.description.AffiliationShidama Yasunari - Shinshu University, Nagano, Japan-
    dc.description.referencesGrzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.-
    dc.description.referencesCzesław Byliński. Binary operations. Formalized Mathematics, 1(1):175-180, 1990.-
    dc.description.referencesCzesław Byliński. The complex numbers. Formalized Mathematics, 1(3):507-513, 1990.-
    dc.description.referencesCzesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.-
    dc.description.referencesCzesław Byliński. Partial functions. Formalized Mathematics, 1(2):357-367, 1990.-
    dc.description.referencesCzesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.-
    dc.description.referencesAgata Darmochwał. Compact spaces. Formalized Mathematics, 1(2):383-386, 1990.-
    dc.description.referencesNoboru Endou. Banach algebra of bounded complex linear operators. Formalized Mathematics, 12(3):237-242, 2004.-
    dc.description.referencesNoboru Endou. Banach space of absolute summable complex sequences. Formalized Mathematics, 12(2):191-194, 2004.-
    dc.description.referencesNoboru Endou. Complex Banach space of bounded linear operators. Formalized Mathematics, 12(2):201-209, 2004.-
    dc.description.referencesNoboru Endou. Complex linear space and complex normed space. Formalized Mathematics, 12(2):93-102, 2004.-
    dc.description.referencesNoboru Endou. Complex linear space of complex sequences. Formalized Mathematics, 12(2):109-117, 2004.-
    dc.description.referencesNoboru Endou. Complex valued functions space. Formalized Mathematics, 12(3):231-235, 2004.-
    dc.description.referencesNoboru Endou. Continuous functions on real and complex normed linear spaces. Formalized Mathematics, 12(3):403-419, 2004.-
    dc.description.referencesKrzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990.-
    dc.description.referencesKatuhiko Kanazashi, Hiroyuki Okazaki, and Yasunari Shidama. Banach algebra of bounded complex-valued functionals. Formalized Mathematics, 19(2):121-126, 2011, doi: 10.2478/v10037-011-0019-0.-
    dc.description.referencesEugeniusz Kusak, Wojciech Leończuk, and Michał Muzalewski. Abelian groups, fields and vector spaces. Formalized Mathematics, 1(2):335-342, 1990.-
    dc.description.referencesChanapat Pacharapokin, Hiroshi Yamazaki, Yasunari Shidama, and Yatsuka Nakamura. Complex function differentiability. Formalized Mathematics, 17(2):67-72, 2009, doi: 10.2478/v10037-009-0007-9.-
    dc.description.referencesBeata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223-230, 1990.-
    dc.description.referencesYasunari 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.referencesAndrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329-334, 1990.-
    dc.description.referencesWojciech A. Trybulec. Groups. Formalized Mathematics, 1(5):821-827, 1990.-
    dc.description.referencesWojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990.-
    dc.description.referencesZinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.-
    dc.description.referencesEdmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.-
    dc.description.referencesEdmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990.-
    Występuje w kolekcji(ach):Formalized Mathematics, 2012, Volume 20, Issue 1

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