A‐Sequence Spaces in 2‐Normed Space Defined by Ideal Convergence and an Orlicz Function

Ondřej Došlý,E Savaş

doi:10.1155/2011/741382

Abstract

We study some new A‐sequence spaces using ideal convergence and an Orlicz function in 2‐normed space and we give some relations related to these sequence spaces.

Highlights

Let X and Y be two nonempty subsets of the space w of complex sequences
Let I be an admissible ideal of Æ, M be an Orlicz function, X, ·, · be a 2-normed space, and A an,k be a nonnegative matrix method
2 If pk 1 for all k ∈ N, we denote the above classes of sequences by WI A, M, Δm, ·, W0I A, Δm, ·, W∞ A, Δm, ·, and W∞I A, Δm, ·, respectively

Summary

Introduction

Let X and Y be two nonempty subsets of the space w of complex sequences. Let A ank , n, k 1, 2, . . . be an infinite matrix of complex numbers. Let I be an admissible ideal of Æ, M be an Orlicz function, X, ·, · be a 2-normed space, and A an,k be a nonnegative matrix method.

Results

Conclusion