Title

Multidimensional Matrix Characterization of Asymptotic Equivalent and Ideal for Double Sequences

Document Type

Article

Publication Date

4-26-2019

Subject Area

ARRAY(0x556eea912010)

Abstract

The goal of this article is to study I 2 equivalence double nonnegative sequences. To accomplish this we present a series of theorems that are similar to the following: If A is a nonnegative four dimensional summability matrix that maps bounded double sequences to l 2 and let I 2 and J 2 be admissible ideals in N × N then the following are equivalent. If X=X KI and Y=Y KI are bounded double sequences such that (Formula presented.) and (Formula presented.), for some d>0, then (Formula presented.) for each m and n, (Formula presented.) for each S 2 ϵ I 2 . In addition other variations and implications shall also be presented.

Publication Title

Numerical Functional Analysis and Optimization

Volume

40

Issue

6

First Page

654

Last Page

669

Digital Object Identifier (DOI)

10.1080/01630563.2018.1557204

ISSN

01630563

E-ISSN

15322467

Share

COinS