Submatrices of Four Dimensional Summability Matrices

• Fatih Nuray ^[2] ; Richard F Patterson ^[1]
  1. [1] University of North Florida

     University of North Florida

     Estados Unidos

     
  2. [2] AfyonKocatepe University Department of Mathematics
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 17, Nº. 2, 2015, págs. 89-96
• Idioma: inglés
• DOI: 10.4067/S0719-06462015000200006
• Enlaces
  • Texto completo
• Resumen
  • español

    En este trabajo probamos que una matriz que lleva ℓ′′ en ℓ′′ se puede obtener a partir de cualquier matriz RH-regular eliminando filas. También una matriz cuatro dimensional conservative se puede obteber eliminando filas en una matriz que preserva acotación. Usamos estas técnicas para encontrar una condición suficiente para que una matriz cuatro dimensional sume una sucesión no acotada.

  • English

    In this paper, we show that a matrix that maps ℓ′′ into ℓ′′ 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.

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