实线性空间的变换工具

IF 1 Q1 MATHEMATICS

Formalized Mathematics Pub Date : 2022-07-01 DOI:10.2478/forma-2022-0008

Kazuhisa Nakasho

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引用次数: 0

摘要

本文利用Mizar系统[1]，[2]，为处理实线性空间和实赋范空间提供了有用的工具。这些内容包括实数集与一维实赋范空间的识别，实线性空间与实欧几里德空间的关系，实线性空间到实向量空间的变换，以及实线性空间的基和维的性质。我们在这个形式化中引用了[6]、[10]、[8]、[9]。

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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Transformation Tools for Real Linear Spaces

Summary This paper, using the Mizar system [1], [2], provides useful tools for working with real linear spaces and real normed spaces. These include the identification of a real number set with a one-dimensional real normed space, the relationships between real linear spaces and real Euclidean spaces, the transformation from a real linear space to a real vector space, and the properties of basis and dimensions of real linear spaces. We referred to [6], [10], [8], [9] in this formalization.

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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.