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Transformation Tools for Real Linear Spaces Cover

Transformation Tools for Real Linear Spaces

Open Access
|Dec 2022

Abstract

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.

DOI: https://doi.org/10.2478/forma-2022-0008 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 93 - 98
Accepted on: Jul 23, 2022
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Published on: Dec 24, 2022
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2022 Kazuhisa Nakasho, published by University of Białystok
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.