On Vector Sequence Spaces and Representation
of Compact Operators on BK Spaces

Zachary Kayiita; Boniface Kwach; Shem Aywa; Paul Francis

doi:https://doi.org/10.14445/22315373/IJMTT-V61P528

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 61 | Number 3 | Year 2018 | Article Id. IJMTT-V61P528 | DOI : https://doi.org/10.14445/22315373/IJMTT-V61P528

On Vector Sequence Spaces and Representation of Compact Operators on BK Spaces

Zachary Kayiita, Boniface Kwach , Shem Aywa, Paul Francis

Citation :

Zachary Kayiita, Boniface Kwach , Shem Aywa, Paul Francis, "On Vector Sequence Spaces and Representation of Compact Operators on BK Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 61, no. 3, pp. 204-212, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V61P528

Abstract

The study gives some properties of compact operators between Banach-Koordinat (BK) spaces. Further the study looks at the vector sequence spaces associated with these spaces. Finally, we characterize compact operators through a BK space is studied and also characterizes the spaces of compact linear maps from locally convex spaces into BK spaces in terms of certain subspaces of the generalized sequence spaces. These characterizations are vital in the proofs of representations of the BK spaces used in the generalizations of the classical results on Spaces of Compact operators and their Dual spaces.

Keywords

BK space, compact operator, sequence space.

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