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Matrix Domains

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. 2, we study sequence spaces that have recently been introduced by the use of infinite matrices. They can be considered as the matrix domains of particular triangles in certain sequence spaces. This seems to be natural in view of the fact that most classical methods of summability are given by triangles. There are a large number of recent publications in this area. The results in almost all of these publications are proved for each sequence space separately. We use the relevant theory presented in Chap. 1 to provide a general, unified approach for matrix domains of arbitrary triangles in arbitrary FK spaces and some special cases.

Suggested Citation

  • Bruno de Malafosse & Eberhard Malkowsky & Vladimir Rakočević, 2021. "Matrix Domains," Springer Books, in: Operators Between Sequence Spaces and Applications, chapter 0, pages 47-104, Springer.
    • Handle: RePEc:spr:sprchp:978-981-15-9742-8_2
    DOI: 10.1007/978-981-15-9742-8_2
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