On Algebraic Basis of the Algebra of Symmetric Polynomials on lp (Cn)

被引：26

作者：

Kravtsiv, Victoriia ^{[1
]}

Vasylyshyn, Taras ^{[1
]}

Zagorodnyuk, Andriy ^{[1
]}

机构：

[1] Vasyl Stefanyk Precarpathian Natl Univ, 57 Shevchenka Str, UA-76000 Ivano Frankivsk, Ukraine

来源：

JOURNAL OF FUNCTION SPACES | 2017年 / 2017卷

关键词：

ANALYTIC-FUNCTIONS; SPECTRA; CONVOLUTION;

D O I：

10.1155/2017/4947925

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider polynomials on spaces l(p)(C-n), 1 <= p < + infinity, 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 l(p)(C-n).

引用

页数：8

共 15 条

[1] Algebraic Basis of the Algebra of All Symmetric Continuous Polynomials on the Cartesian Product of lp-Spaces
Bandura, Andriy
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AXIOMS, 2022, 11 (02)
[2] Symmetric polynomials on
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EUROPEAN JOURNAL OF MATHEMATICS, 2020, 6 (01) : 164 - 178
[3] ANALOGUES OF THE NEWTON FORMULAS FOR THE BLOCK-SYMMETRIC POLYNOMIALS ON lp(Cs)
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CARPATHIAN MATHEMATICAL PUBLICATIONS, 2020, 12 (01) : 17 - 22
[4] Symmetric and finitely symmetric polynomials on the spaces l∞ and L∞[0, +∞)
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MATHEMATISCHE NACHRICHTEN, 2018, 291 (11-12) : 1712 - 1726
[5] The algebra of symmetric analytic functions on L∞
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[6] ALGEBRAS GENERATED BY SPECIAL SYMMETRIC POLYNOMIALS ON l1
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Karpenko, H.
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CARPATHIAN MATHEMATICAL PUBLICATIONS, 2019, 11 (02) : 335 - 344
[7] Supersymmetric Polynomials and a Ring of Multisets of a Banach Algebra
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Zagorodnyuk, Andriy
AXIOMS, 2022, 11 (10)
[8] The algebra of conjugacy classes in symmetric groups and partial permutations
Ivanov V.
Kerov S.
Journal of Mathematical Sciences, 2001, 107 (5) : 4212 - 4230
[9] Convolutions for orthogonal polynomials from Lie and quantum algebra representations
Koelink, HT
Van Der Jeugt, J
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1998, 29 (03) : 794 - 822
[10] Analytic structure on the spectrum of the algebra of symmetric analytic functions on L∞
Galindo, Pablo
Vasylyshyn, Taras
Zagorodnyuk, Andriy
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (02)

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