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Sequence Space 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 Chap. 6, we extend the results of the previous chapter and determine the sets of the solutions of the equations involving known linear spaces of sequences, or matrix domains of some known operators. Using the results on the multipliers, we begin with the solvability of an elementary equation involving a linear space 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 identity, and determine the set of all the solutions of the new equation obtained from the elementary equation.

Suggested Citation

  • Bruno de Malafosse & Eberhard Malkowsky & Vladimir Rakočević, 2021. "Sequence Space Equations," Springer Books, in: Operators Between Sequence Spaces and Applications, chapter 0, pages 265-313, Springer.
    • Handle: RePEc:spr:sprchp:978-981-15-9742-8_6
    DOI: 10.1007/978-981-15-9742-8_6
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