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

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2018 by IJMTT Journal
Volume-61 Number-3
Year of Publication : 2018
Authors : Zachary Kayiita, Boniface Kwach, Shem Aywa, Paul Francis
  10.14445/22315373/IJMTT-V61P528

MLA

MLA Style: 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 61.3 (2018): 204-212.

APA Style: Zachary Kayiita, Boniface Kwach, Shem Aywa, Paul Francis (2018). On Vector Sequence Spaces and Representation of Compact Operators on BK Spaces. International Journal of Mathematics Trends and Technology, 61(3), 204-212.

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.

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Keywords
BK space, compact operator, sequence space.