Matrix Operators and bv Sequence Spaces

In this paper, we study about the matrix domain of the sequence space by several triangle infinite matrices, namely the Cesaro mean of order one matrix, the Generalized Weighted matrix, and the Riesz matrix. Several things related to the matrix domain that will be observed include isomorphism of sequence spaces, -spaces, Schauder bases, -duals, -duals, -duals, and also the characterization of a mapping of a sequence space by some classes of matrix transformations. Furthermore, we also discuss inclusion relations of several matrix domains of the sequence space .

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Publication Details

Journal
Journal of Research in Mathematics Trends and Technology
Published
2024-09-30
DOI
https://doi.org/10.32734/jormtt.v6i2.19935
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
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article

Matrix Operators and bv Sequence Spaces

Khurshid Anwar, Supama
Journal of Research in Mathematics Trends and Technology
Approximation Theory and Sequence Spaces
article

Matrix Operators and bv Sequence Spaces

Khurshid Anwar, Supama
article en

Abstract

In this paper, we study about the matrix domain of the sequence space by several triangle infinite matrices, namely the Cesaro mean of order one matrix, the Generalized Weighted matrix, and the Riesz matrix. Several things related to the matrix domain that will be observed include isomorphism of sequence spaces, -spaces, Schauder bases, -duals, -duals, -duals, and also the characterization of a mapping of a sequence space by some classes of matrix transformations. Furthermore, we also discuss inclusion relations of several matrix domains of the sequence space .

Journal of Research in Mathematics Trends and TechnologyVol. 6(2)
Universitas Gadjah Mada (ID)
Openalex Percentile: Top 74%
Approximation Theory and Sequence Spaces
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