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http://hdl.handle.net/11320/7836
Tytuł: | Bilinear Operators on Normed Linear Spaces |
Autorzy: | Nakasho, Kazuhisa |
Słowa kluczowe: | Lipschitz continuity bounded linear operator bilinear operator algebraic structure Banach space |
Data wydania: | 2019 |
Data dodania: | 21-maj-2019 |
Wydawca: | DeGruyter Open |
Źródło: | Formalized Mathematics, Volume 27, Issue 1, Pages 15-23 |
Abstrakt: | The main aim of this article is proving properties of bilinear operators on normed linear spaces formalized by means of Mizar [1]. In the first two chapters, algebraic structures [3] of bilinear operators on linear spaces are discussed. Especially, the space of bounded bilinear operators on normed linear spaces is developed here. In the third chapter, it is remarked that the algebraic structure of bounded bilinear operators to a certain Banach space also constitutes a Banach space.In the last chapter, the correspondence between the space of bilinear operators and the space of composition of linear opearators is shown. We referred to [4], [11], [2], [7] and [8] in this formalization. |
Afiliacja: | Yamaguchi University, Yamaguchi, Japan |
URI: | http://hdl.handle.net/11320/7836 |
DOI: | 10.2478/forma-2019-0002 |
ISSN: | 1426-2630 |
e-ISSN: | 1898-9934 |
metadata.dc.identifier.orcid: | 0000-0003-1110-4342 |
Typ Dokumentu: | Article |
Występuje w kolekcji(ach): | Formalized Mathematics, 2019, Volume 27, Issue 1 |
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