Some New Sequence Spaces Derived by the Composition of Binomial Matrix and Double Band Matrix

Sönmez, Abdulcabbar

doi:10.11948/2019.231

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2020

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“…More recently, the author has computed the norm of operators on several sequence spaces, [7,8,21,22,14,15,16,17,18,20,19]. Several papers have published about the binomial sequence space, who is a matrix domain associated with the binomial operator or other spaces which obtain by this operator [4,5,11,24,23,6]. Those are all have investigated the properties of this space such as inclusions, dual spaces, Schauder basis, compactness, matrix transformations etc.…”

Section: Introductionmentioning

confidence: 99%

Binomial Operator as a Hausdorff Operator of the Euler Type

Roopaei

2020

Constructive Mathematical Analysis

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In this paper, we prove that the binomial operator is a Hausdorff operator of the Euler type and consequently, the binomial matrix domain associated with this operator is nothing new except an Euler sequence space. Therefore, all the results of published papers on the binomial sequence spaces like [4], can be extracted easily from [1] and the relation between the binomial and Euler operators that we introduce. Moreover, we compute the norm and the lower bound of the binomial operator on some sequence spaces.

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Section: Introductionmentioning

confidence: 99%

Binomial Operator as a Hausdorff Operator of the Euler Type

Roopaei

2020

Constructive Mathematical Analysis

View full text Add to dashboard Cite

show abstract

Some New Sequence Spaces Derived by the Composition of Binomial Matrix and Double Band Matrix

Cited by 1 publication

References 15 publications

Binomial Operator as a Hausdorff Operator of the Euler Type

Binomial Operator as a Hausdorff Operator of the Euler Type

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