Isomorphisms from the Space of Multilinear Operators

Pole DC	Wartość	Język
dc.contributor.author	Nakasho, Kazuhisa	-
dc.date.accessioned	2019-07-29T08:28:47Z	-
dc.date.available	2019-07-29T08:28:47Z	-
dc.date.issued	2019	-
dc.identifier.citation	Formalized Mathematics, Volume 27, Issue 2, Pages 101 - 106	-
dc.identifier.issn	1426-2630	-
dc.identifier.uri	http://hdl.handle.net/11320/8129	-
dc.description.abstract	In this article, using the Mizar system [5], [2], the isomorphisms from the space of multilinear operators are discussed. In the first chapter, two isomorphisms are formalized. The former isomorphism shows the correspondence between the space of multilinear operators and the space of bilinear operators.The latter shows the correspondence between the space of multilinear operators and the space of the composition of linear operators. In the last chapter, the above isomorphisms are extended to isometric mappings between the normed spaces. We referred to [6], [11], [9], [3], [10] in this formalization.	-
dc.language.iso	en	-
dc.publisher	DeGruyter Open	-
dc.subject	linear operators	-
dc.subject	bilinear operators	-
dc.subject	multilinear operators	-
dc.subject	isomorphism of linear operator spaces	-
dc.subject	46-00	-
dc.subject	47A07	-
dc.subject	47A30	-
dc.subject	68T99	-
dc.subject	03B35	-
dc.title	Isomorphisms from the Space of Multilinear Operators	-
dc.type	Article	-
dc.identifier.doi	10.2478/forma-2019-0011	-
dc.description.Affiliation	Yamaguchi University, Yamaguchi, Japan	-
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dc.identifier.eissn	1898-9934	-
dc.description.volume	27	-
dc.description.issue	2	-
dc.description.firstpage	101	-
dc.description.lastpage	106	-
dc.identifier.citation2	Formalized Mathematics	-
dc.identifier.orcid	0000-0003-1110-4342	-
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