A Class of Conservative Four-dimensional Matrices

نویسندگان

  • CELAL ÇAKAN
  • BILAL ALTAY
چکیده

A double sequence x = [xjk]j,k=0 is said to be convergent to a number l in the Pringsheim sense or P-convergent if for every ε > 0, there exists N ∈N, the set of natural numbers, such that |xjk − l| < ε whenever j,k > N , [5]. In this case, we write P− limx = l. In what follows, we will write [xjk] in place of [xjk]j,k=0. A double sequence x is said to be bounded if there exists a positive number M such that |xjk| <M for all j, k, that is, if ‖x‖ = sup j,k ∣ xjk ∣ ∣ <∞. (1.1)

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تاریخ انتشار 2006