An Order-Preserving Linear Map from Matrices to Banach * -Algebras and Applications

Pattrawut Chansangiam

Journal of Mathematics, 2013, vol. 2013, 1-5

Abstract:

We establish a theorem for which a number of absolute-value identities and inequalities in the framework of Banach -algebras can be generated. To do this job, we construct an order-preserving linear map from the vector space of 2-by-2 hermitian matrices to a hermitian Banach -algebras. This map can convert any suitable matrix ordering to a number of identities and inequalities in Banach -algebras. Hence, we obtain a number of analogues of the well-known results in a framework of hermitian Banach -algebras.

Date: 2013
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/JMATH/2013/328510.pdf (application/pdf)
http://downloads.hindawi.com/journals/JMATH/2013/328510.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:328510

DOI: 10.1155/2013/328510

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().