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

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    • Proszę używać tego identyfikatora do cytowań lub wstaw link do tej pozycji: http://hdl.handle.net/11320/3659
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    Pole DCWartośćJęzyk
    dc.contributor.authorWatase, Yasushige-
    dc.contributor.authorEndou, Noboru-
    dc.contributor.authorShidama, Yasunari-
    dc.date.accessioned2015-12-06T19:06:10Z-
    dc.date.available2015-12-06T19:06:10Z-
    dc.date.issued2012-
    dc.identifier.citationFormalized Mathematics, Volume 20, Issue 4, 2012, Pages 349-357-
    dc.identifier.issn1426-2630-
    dc.identifier.issn1898-9934-
    dc.identifier.urihttp://hdl.handle.net/11320/3659-
    dc.description.abstractIn this article, we formalized L1 space formed by complexvalued partial functions [11], [15]. The real-valued case was formalized in [22] and this article is its generalization.-
    dc.language.isoen-
    dc.publisherDe Gruyter Open-
    dc.titleOn L1 Space Formed by Complex-Valued Partial Functions-
    dc.typeArticle-
    dc.identifier.doi10.2478/v10037-012-0039-4-
    dc.description.AffiliationWatase Yasushige - 3-21-6 Suginami Tokyo, Japan-
    dc.description.AffiliationEndou Noboru - Gifu National College of Technology, Japan-
    dc.description.AffiliationShidama Yasunari - Shinshu University Nagano, Japan-
    dc.description.referencesJonathan Backer, Piotr Rudnicki, and Christoph Schwarzweller. Ring ideals. Formalized Mathematics, 9(3):565-582, 2001.-
    dc.description.referencesJózef Białas. Series of positive real numbers. Measure theory. Formalized Mathematics, 2(1):173-183, 1991.-
    dc.description.referencesJózef Białas. The σ-additive measure theory. Formalized Mathematics, 2(2):263-270, 1991.-
    dc.description.referencesCzesław Bylinski. Binary operations. Formalized Mathematics, 1(1):175-180, 1990.-
    dc.description.referencesCzesław Bylinski. The complex numbers. Formalized Mathematics, 1(3):507-513, 1990.-
    dc.description.referencesCzesław Bylinski. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.-
    dc.description.referencesCzesław Bylinski. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.-
    dc.description.referencesCzesław Bylinski. Partial functions. Formalized Mathematics, 1(2):357-367, 1990.-
    dc.description.referencesCzesław Bylinski. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.-
    dc.description.referencesNoboru Endou. Complex linear space and complex normed space. Formalized Mathematics, 12(2):93-102, 2004.-
    dc.description.referencesP. R. Halmos. Measure Theory. Springer-Verlag, 1974.-
    dc.description.referencesJarosław Kotowicz and Yuji Sakai. Properties of partial functions from a domain to the set of real numbers. Formalized Mathematics, 3(2):279-288, 1992.-
    dc.description.referencesKeiko Narita, Noboru Endou, and Yasunari Shidama. Integral of complex-valued measurable function. Formalized Mathematics, 16(4):319-324, 2008, doi:10.2478/v10037-008-0039-6.-
    dc.description.referencesAndrzej Nedzusiak. σ-fields and probability. Formalized Mathematics, 1(2):401-407, 1990.-
    dc.description.referencesWalter Rudin. Real and Complex Analysis. Mc Graw-Hill, Inc., 1974.-
    dc.description.referencesYasunari Shidama and Noboru Endou. Integral of real-valued measurable function. Formalized Mathematics, 14(4):143-152, 2006, doi:10.2478/v10037-006-0018-8.-
    dc.description.referencesAndrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329-334, 1990.-
    dc.description.referencesAndrzej Trybulec. On the sets inhabited by numbers. Formalized Mathematics, 11(4):341-347, 2003.-
    dc.description.referencesAndrzej Trybulec and Agata Darmochwał. Boolean domains. Formalized Mathematics, 1(1):187-190, 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.referencesYasushige Watase, Noboru Endou, and Yasunari Shidama. On L1 space formed by real-valued partial functions. Formalized Mathematics, 16(4):361-369, 2008, doi:10.2478/v10037-008-0044-9.-
    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 4

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