Some Standard Examples of Vector Spaces
Christoph Schwarzweller
Institute of Informatics, University of GdańskPoland
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and Dec 31, 2024
About this article
Published Online: Dec 31, 2024
Page range: 223 - 233
Accepted: Dec 24, 2024
DOI: https://doi.org/10.2478/forma-2024-0019
Keywords
© 2024 Christoph Schwarzweller et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 Public License.
In this article, using the Mizar system, we introduce some standard examples of vector spaces, e.g., the vector space of linear transformations between vector spaces. We formulate some conditions for the isomorphism of finite-dimensional vector spaces and prove that linear transformations are uniquely determined by their values with respect to the basis.