Note on bilineer maps on vector lattices

In this paper we introduce a new concept of a d-bimorphism on a vector lattice and prove that, for vector lattices A and B, the Arens triadjoint T^{\ast\ast\ast}:(A^{\prime})^{\prime}_n\times (A^{\prime})^{\prime}_n\rightarrow (B^{\prime})^{\prime}_n of a d-bimorphism T:A\times A\rightarrow B is a d...

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Main Author:	Ruşen YILMAZ
Format:	Article
Language:	English
Published:	BİSKA Bilisim Company 2017-08-01
Series:	New Trends in Mathematical Sciences
Subjects:	Arens adjoint vector lattice order bidual d-algebra d-bimorphism.
Online Access:	https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8316

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spelling	doaj-6dec09ea2ab34c21a4d18be677123d592020-11-24T23:09:40ZengBİSKA Bilisim CompanyNew Trends in Mathematical Sciences2147-55202147-55202017-08-015316817410.20852/ntmsci.2017.1948316Note on bilineer maps on vector latticesRuşen YILMAZ0Recep tayyip Erdoğan UniversityIn this paper we introduce a new concept of a d-bimorphism on a vector lattice and prove that, for vector lattices A and B, the Arens triadjoint T^{\ast\ast\ast}:(A^{\prime})^{\prime}_n\times (A^{\prime})^{\prime}_n\rightarrow (B^{\prime})^{\prime}_n of a d-bimorphism T:A\times A\rightarrow B is a d-bimorphism. This generalizes the concept of d-algebra and some results on the order bidual of d-algebras.https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8316Arens adjointvector latticeorder biduald-algebrad-bimorphism.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ruşen YILMAZ
spellingShingle	Ruşen YILMAZ Note on bilineer maps on vector lattices New Trends in Mathematical Sciences Arens adjoint vector lattice order bidual d-algebra d-bimorphism.
author_facet	Ruşen YILMAZ
author_sort	Ruşen YILMAZ
title	Note on bilineer maps on vector lattices
title_short	Note on bilineer maps on vector lattices
title_full	Note on bilineer maps on vector lattices
title_fullStr	Note on bilineer maps on vector lattices
title_full_unstemmed	Note on bilineer maps on vector lattices
title_sort	note on bilineer maps on vector lattices
publisher	BİSKA Bilisim Company
series	New Trends in Mathematical Sciences
issn	2147-5520 2147-5520
publishDate	2017-08-01
description	In this paper we introduce a new concept of a d-bimorphism on a vector lattice and prove that, for vector lattices A and B, the Arens triadjoint T^{\ast\ast\ast}:(A^{\prime})^{\prime}_n\times (A^{\prime})^{\prime}_n\rightarrow (B^{\prime})^{\prime}_n of a d-bimorphism T:A\times A\rightarrow B is a d-bimorphism. This generalizes the concept of d-algebra and some results on the order bidual of d-algebras.
topic	Arens adjoint vector lattice order bidual d-algebra d-bimorphism.
url	https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8316
work_keys_str_mv	AT rusenyilmaz noteonbilineermapsonvectorlattices
_version_	1725609931754700800

Note on bilineer maps on vector lattices

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