利用双曲值范数求解\(c_{0}^{k}\left( \mathbb{B}\mathbb{C}\right)\)与\(c^{k}\left( \mathbb{B}\mathbb{C} \right)\)之间的矩阵变换的双复形式

IF 1.4 4区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES
Birsen Sağır, Nihan Güngör, Cenap Duyar
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引用次数: 0

摘要

本文给出了\(c_{0}^{k}\left( \mathbb{B}\mathbb{C}\right)\)和\(c^{k}\left( \mathbb{B}\mathbb{C}\right)\)之间的双复矩阵变换的刻画,推广了这些矩阵复型的几个结论。此外,我们利用Silverman-Toeplitz定理和Kojima-Schur定理定义并证明了它们的双复对偶。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Bicomplex Version of Matrix Transformations Between \(c_{0}^{k}\left( \mathbb{B}\mathbb{C}\right)\) and \(c^{k}\left( \mathbb{B}\mathbb{C} \right)\) by Using the Hyperbolic-Valued Norm

This paper presents the characterizations of bicomplex matrix transformations between \(c_{0}^{k}\left( \mathbb{B}\mathbb{C}\right)\) and \(c^{k}\left( \mathbb{B}\mathbb{C}\right)\) generalizing several conclusions from complex version of these matrices. Moreover, we define and demonstrate their bicomplex counterparts utilizing the Silverman-Toeplitz and Kojima-Schur theorems.

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来源期刊
CiteScore
4.00
自引率
5.90%
发文量
122
审稿时长
>12 weeks
期刊介绍: The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences
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