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Sequence Spaces Inclusion Equations

In: Operators Between Sequence Spaces and Applications

Author

Listed:
  • Bruno de Malafosse

    (University of Le Havre (LMAH))

  • Eberhard Malkowsky

    (Univerzitet Union Nikola Tesla, Faculty of Management)

  • Vladimir Rakočević

    (University of Niš, Department of Mathematics)

Abstract

In this chapter, we consider new problems of perturbations with exercises on sequence spaces and determine the sets of all the solutions of special inclusions involving known linear spaces of sequences, or the matrix domains of some special operators. Using the results on multipliers, we start with the solvability of an elementary inclusion involving linear spaces of sequences. Then we add a linear space of sequences, or the matrix domain of some well-known operator in the second member of this inclusion, and determine the set of all the solutions of the new inclusion obtained from the elementary inclusion.

Suggested Citation

  • Bruno de Malafosse & Eberhard Malkowsky & Vladimir Rakočević, 2021. "Sequence Spaces Inclusion Equations," Springer Books, in: Operators Between Sequence Spaces and Applications, chapter 0, pages 229-263, Springer.
    • Handle: RePEc:spr:sprchp:978-981-15-9742-8_5
    DOI: 10.1007/978-981-15-9742-8_5
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