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  • 1 I.U.T Université du Havre 76600 Le Havre France
  • 2 Universität Giessen Mathematisches Institut Arndtstrasse 2 D-35392 Giessen Germany
  • 3 University of Niš Department of Mathematics, Faculty of Sciences and Mathematics Višegradska 33 18000 Niš Yugoslavia
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Abstract  

In this paper, we characterize classes of matrix transformations from BK spaces into spaces of bounded sequences and their subclasses of infinite matrices that define compact operators. Furthermore, using these results and the solvability of certain infinite linear systems we give necessary and sufficient conditions for A to be a compact operator on spaces that are strongly α-bounded or summable.

  • Impact Factor (2019): 0.693
  • Scimago Journal Rank (2019): 0.412
  • SJR Hirsch-Index (2019): 20
  • SJR Quartile Score (2019): Q3 Mathematics (miscellaneous)
  • Impact Factor (2018): 0.664
  • Scimago Journal Rank (2018): 0.412
  • SJR Hirsch-Index (2018): 19
  • SJR Quartile Score (2018): Q2 Mathematics (miscellaneous)

Manuscript Submission: HERE