Some Standard Examples of Vector Spaces

Christoph Schwarzweller; Agnieszka Rowińska-Schwarzweller

doi:10.2478/forma-2024-0019

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Some Standard Examples of Vector Spaces

Formalized Mathematics

Volume 32 (2024): Issue 1 (August 2024)

By: Christoph Schwarzweller and Agnieszka Rowińska-Schwarzweller

Open Access

|Dec 2024

Abstract

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.

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Articles in this issue

DOI: https://doi.org/10.2478/forma-2024-0019 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630

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Language: English

Page range: 223 - 233

Accepted on: Dec 24, 2024

Published on: Dec 31, 2024

Published by: University of Białystok

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

vector space,

linear transformation,

dimension of a vector space

Related subjects:

Mathematics,

Logic and set theory,

Computer sciences,

Artificial intelligence

© 2024 Christoph Schwarzweller, Agnieszka Rowińska-Schwarzweller, published by University of Białystok
This work is licensed under the Creative Commons Attribution-ShareAlike 3.0 License.

Volume 32 (2024): Issue 1 (August 2024)