International Journal of Mathematics Trends and Technology
Volume 61 | Number 3 | Year 2018 | Article Id. IJMTT-V61P528 | DOI : https://doi.org/10.14445/22315373/IJMTT-V61P528
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.
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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
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