On a Characterization of Finite-Dimensional Vector Spaces
We provide a characterization of the finite dimensionality of vector spaces in terms of the right-sided invertibility of linear operators on them.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2021/8895949 |
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| _version_ | 1832565959708114944 |
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| author | Marat V. Markin |
| author_facet | Marat V. Markin |
| author_sort | Marat V. Markin |
| collection | DOAJ |
| description | We provide a characterization of the finite dimensionality of vector spaces in terms of the right-sided invertibility of linear operators on them. |
| format | Article |
| id | doaj-art-d909aed777d04d64b8da91ad90e4185b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d909aed777d04d64b8da91ad90e4185b2025-02-03T01:05:33ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252021-01-01202110.1155/2021/88959498895949On a Characterization of Finite-Dimensional Vector SpacesMarat V. Markin0Department of Mathematics, California State University, Fresno, 5245 N. Backer Avenue, M/S PB 108, Fresno 93740-8001, CA, USAWe provide a characterization of the finite dimensionality of vector spaces in terms of the right-sided invertibility of linear operators on them.http://dx.doi.org/10.1155/2021/8895949 |
| spellingShingle | Marat V. Markin On a Characterization of Finite-Dimensional Vector Spaces International Journal of Mathematics and Mathematical Sciences |
| title | On a Characterization of Finite-Dimensional Vector Spaces |
| title_full | On a Characterization of Finite-Dimensional Vector Spaces |
| title_fullStr | On a Characterization of Finite-Dimensional Vector Spaces |
| title_full_unstemmed | On a Characterization of Finite-Dimensional Vector Spaces |
| title_short | On a Characterization of Finite-Dimensional Vector Spaces |
| title_sort | on a characterization of finite dimensional vector spaces |
| url | http://dx.doi.org/10.1155/2021/8895949 |
| work_keys_str_mv | AT maratvmarkin onacharacterizationoffinitedimensionalvectorspaces |