Topological properties and matrix transformations of certain ordered generalized sequence spaces

Manjul Gupta and Kalika Kaushal

International Journal of Mathematics and Mathematical Sciences, 1995, vol. 18, 1-16

Abstract:

In this note, we carry out investigations related to the mixed impact of ordering and topological structure of a locally convex solid Riesz space ( X, τ ) and a scalar valued sequence space λ , on the vector valued sequence space λ ( X ) which is formed and topologized with the help of λ and X , and vice versa. Besides,we also characterize o -matrix transformations from c ( X ) , ℓ ∞ ( X ) to themselves, c s ( X ) to c ( X ) and derive necessary conditions for a matrix of linear operators to transform ℓ 1 ( X ) into a simple ordered vector valued sequence space Λ ( X ) .

Date: 1995
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/18/645631.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/18/645631.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:jijmms:645631

DOI: 10.1155/S0161171295000433

Access Statistics for this article

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