Submatrices of four dimensional summability matrices

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DOI:

https://doi.org/10.4067/S0719-06462015000200006

Abstract

In this paper, we show that a matrix that maps l”²”² into l”²”² can be obtained from any RH-regular matrix by the deletion of rows. Also a four dimensional conservative matrix can be obtained by the deletion of rows from a matrix that preserves boundedness. We will use these techniques to derive a sufficient condition for a four dimensional matrix to sum an unbounded sequence.

Keywords

Submatrix , four dimensional summability matrix , Double Sequences , Pringsheim Limit , RH-regular matrix
  • Fatih Nuray Department of Mathematics, AfyonKocatepe University, Afyonkarahisar, Turkey. Deparment of Mathematics and Statistics, University of North Florida, Jacksonville, FL, USA University of North Florida, Jacksonville, FL, USA
  • Richard F. Patterson Department of Mathematics and Statistics, University of North Florida Jacksonville, Florida, 32224
  • Pages: 89-95
  • Date Published: 2015-06-01
  • Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal

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Published

2015-06-01

How to Cite

[1]
F. Nuray and R. F. Patterson, “Submatrices of four dimensional summability matrices”, CUBO, vol. 17, no. 2, pp. 89–95, Jun. 2015.

Issue

Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal

Section

Articles