范数空间中的功能序列

IF 1 Q1 MATHEMATICS

Formalized Mathematics Pub Date : 2020-12-01 DOI:10.2478/forma-2020-0023

Hiroshi Yamazaki

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引用次数: 1

摘要

本文基于[5]，在Mizar[1]，[2]中形式化了函数序列及其在范数空间上的基本运算。在第一部分中，我们定义了范数空间中的函数序列。在第二节中，我们定义了点向收敛，并证明了一些相关的定理。在最后一节，我们定义了函数序列的一致收敛性和极限。

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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Functional Sequence in Norm Space

Summary In this article, we formalize in Mizar [1], [2] functional sequences and basic operations on functional sequences in norm space based on [5]. In the first section, we define functional sequence in norm space. In the second section, we define pointwise convergence and prove some related theorems. In the last section we define uniform convergence and limit of functional sequence.

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来源期刊

Formalized Mathematics MATHEMATICS-

自引率

0.00%

发文量

审稿时长

10 weeks

期刊介绍： Formalized Mathematics is to be issued quarterly and publishes papers which are abstracts of Mizar articles contributed to the Mizar Mathematical Library (MML) - the basis of a knowledge management system for mathematics.