Note on Arens regularity of symmetric tensor products
We investigate symmetric regularity of sums of symmetric tensor products of Banach spaces and Arens regularity of symmetric tensor products of Banach algebras. An example for the Hilbert space is obtained.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vasyl Stefanyk Precarpathian National University
2014-12-01
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| Series: | Karpatsʹkì Matematičnì Publìkacìï |
| Subjects: | |
| Online Access: | https://journals.pnu.edu.ua/index.php/cmp/article/view/1370 |
| _version_ | 1818442277585944576 |
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| author | O.G. Taras A.V. Zagorodnyuk |
| author_facet | O.G. Taras A.V. Zagorodnyuk |
| author_sort | O.G. Taras |
| collection | DOAJ |
| description | We investigate symmetric regularity of sums of symmetric tensor products of Banach spaces and Arens regularity of symmetric tensor products of Banach algebras. An example for the Hilbert space is obtained. |
| first_indexed | 2024-12-14T18:41:35Z |
| format | Article |
| id | doaj.art-f12a4d9121d74125aca834280c8c7d4e |
| institution | Directory Open Access Journal |
| issn | 2075-9827 2313-0210 |
| language | English |
| last_indexed | 2024-12-14T18:41:35Z |
| publishDate | 2014-12-01 |
| publisher | Vasyl Stefanyk Precarpathian National University |
| record_format | Article |
| series | Karpatsʹkì Matematičnì Publìkacìï |
| spelling | doaj.art-f12a4d9121d74125aca834280c8c7d4e2022-12-21T22:51:29ZengVasyl Stefanyk Precarpathian National UniversityKarpatsʹkì Matematičnì Publìkacìï2075-98272313-02102014-12-016237237610.15330/cmp.6.2.372-3761370Note on Arens regularity of symmetric tensor productsO.G. Taras0A.V. Zagorodnyuk1Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, UkraineVasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, UkraineWe investigate symmetric regularity of sums of symmetric tensor products of Banach spaces and Arens regularity of symmetric tensor products of Banach algebras. An example for the Hilbert space is obtained.https://journals.pnu.edu.ua/index.php/cmp/article/view/1370symmetric regularitymultilinear maps and polynomials on banach spacesarens regularitytensor product |
| spellingShingle | O.G. Taras A.V. Zagorodnyuk Note on Arens regularity of symmetric tensor products Karpatsʹkì Matematičnì Publìkacìï symmetric regularity multilinear maps and polynomials on banach spaces arens regularity tensor product |
| title | Note on Arens regularity of symmetric tensor products |
| title_full | Note on Arens regularity of symmetric tensor products |
| title_fullStr | Note on Arens regularity of symmetric tensor products |
| title_full_unstemmed | Note on Arens regularity of symmetric tensor products |
| title_short | Note on Arens regularity of symmetric tensor products |
| title_sort | note on arens regularity of symmetric tensor products |
| topic | symmetric regularity multilinear maps and polynomials on banach spaces arens regularity tensor product |
| url | https://journals.pnu.edu.ua/index.php/cmp/article/view/1370 |
| work_keys_str_mv | AT ogtaras noteonarensregularityofsymmetrictensorproducts AT avzagorodnyuk noteonarensregularityofsymmetrictensorproducts |