超电磁场的收敛性和速度可和性

Q4 Mathematics

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica Pub Date : 2022-01-01 DOI:10.47743/anstim.2022.00015

P. Natarajan

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引用次数: 1

摘要

在本文中，K表示一个完备的、非平凡值的、超度量的(或非阿基米德的)场。序列、无穷级数和无穷矩阵的项都在K中。根据Kangro[2-4]，我们通过K中的无限矩阵A(或A λ可和性)引入了速度为λ(或λ -收敛)和λ -可和性的概念。然后证明了矩阵类(c λ，cµ)的一个刻划，其中c λ表示所有λ收敛序列的集合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On convergence and summability with speed in ultrametric fields

Throughout the present paper, K denotes a complete, non-trivially valued, ultrametric (or non-archimedean) field. Entries of sequences, infinite series and infinite matrices are in K . Following Kangro [2–4], we introduce the concepts of convergence with speed λ (or λ -convergence) and λ -summability by the infinite matrix A (or A λ summability) in K . We then prove a characterization of the matrix class ( c λ ,c µ ), where c λ denotes the set of all λ -convergent sequences.

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来源期刊

Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi - Matematica MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research and research-expository papers in all fields of mathematics.