On Algebraic Basis of the Algebra of Symmetric Polynomials on lp(Cn)
We consider polynomials on spaces lpCn,1≤p<+∞, of p-summing sequences of n-dimensional complex vectors, which are symmetric with respect to permutations of elements of the sequences, and describe algebraic bases of algebras of continuous symmetric polynomials on lpCn.
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/4947925 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832563655719256064 |
|---|---|
| author | Victoriia Kravtsiv Taras Vasylyshyn Andriy Zagorodnyuk |
| author_facet | Victoriia Kravtsiv Taras Vasylyshyn Andriy Zagorodnyuk |
| author_sort | Victoriia Kravtsiv |
| collection | DOAJ |
| description | We consider polynomials on spaces lpCn,1≤p<+∞, of p-summing sequences of n-dimensional complex vectors, which are symmetric with respect to permutations of elements of the sequences, and describe algebraic bases of algebras of continuous symmetric polynomials on lpCn. |
| format | Article |
| id | doaj-art-b12e0c880e8446e3abdc694247aa4ea6 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-b12e0c880e8446e3abdc694247aa4ea62025-02-03T01:13:01ZengWileyJournal of Function Spaces2314-88962314-88882017-01-01201710.1155/2017/49479254947925On Algebraic Basis of the Algebra of Symmetric Polynomials on lp(Cn)Victoriia Kravtsiv0Taras Vasylyshyn1Andriy Zagorodnyuk2Vasyl Stefanyk Precarpathian National University, 57 Shevchenka Str., Ivano-Frankivsk 76000, UkraineVasyl Stefanyk Precarpathian National University, 57 Shevchenka Str., Ivano-Frankivsk 76000, UkraineVasyl Stefanyk Precarpathian National University, 57 Shevchenka Str., Ivano-Frankivsk 76000, UkraineWe consider polynomials on spaces lpCn,1≤p<+∞, of p-summing sequences of n-dimensional complex vectors, which are symmetric with respect to permutations of elements of the sequences, and describe algebraic bases of algebras of continuous symmetric polynomials on lpCn.http://dx.doi.org/10.1155/2017/4947925 |
| spellingShingle | Victoriia Kravtsiv Taras Vasylyshyn Andriy Zagorodnyuk On Algebraic Basis of the Algebra of Symmetric Polynomials on lp(Cn) Journal of Function Spaces |
| title | On Algebraic Basis of the Algebra of Symmetric Polynomials on lp(Cn) |
| title_full | On Algebraic Basis of the Algebra of Symmetric Polynomials on lp(Cn) |
| title_fullStr | On Algebraic Basis of the Algebra of Symmetric Polynomials on lp(Cn) |
| title_full_unstemmed | On Algebraic Basis of the Algebra of Symmetric Polynomials on lp(Cn) |
| title_short | On Algebraic Basis of the Algebra of Symmetric Polynomials on lp(Cn) |
| title_sort | on algebraic basis of the algebra of symmetric polynomials on lp cn |
| url | http://dx.doi.org/10.1155/2017/4947925 |
| work_keys_str_mv | AT victoriiakravtsiv onalgebraicbasisofthealgebraofsymmetricpolynomialsonlpcn AT tarasvasylyshyn onalgebraicbasisofthealgebraofsymmetricpolynomialsonlpcn AT andriyzagorodnyuk onalgebraicbasisofthealgebraofsymmetricpolynomialsonlpcn |