Symmetric functions on spaces $\ell_p(\mathbb{{R}}^n)$ and $\ell_p(\mathbb{{C}}^n)$

This work is devoted to the study of algebras of continuous symmetric polynomials, that is, invariant with respect to permutations of coordinates of its argument, and of $*$-polynomials on Banach spaces $\ell_p(\mathbb{R}^n)$ and $\ell_p(\mathbb{C}^n)$ of $p$-power summable sequences of $n$-dimensio...

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Bibliographic Details

Published in:	Karpatsʹkì Matematičnì Publìkacìï
Main Author:	T.V. Vasylyshyn
Format:	Article
Language:	English
Published:	Vasyl Stefanyk Precarpathian National University 2020-06-01
Subjects:	polynomial $*$-polynomial symmetric polynomial symmetric $*$-polynomial algebraic basis
Online Access:	https://journals.pnu.edu.ua/index.php/cmp/article/view/3863