ALGEBRAS GENERATED BY SPECIAL SYMMETRIC POLYNOMIALS ON l1

被引：3

作者：

Jawad, F. ^{[1
]}

Karpenko, H. ^{[1
]}

Zagorodnyuk, A. ^{[1
]}

机构：

[1] Vasyl Stefanyk Precarpathian Natl Univ, 57 Shevchenka Str, UA-76018 Ivano Frankivsk, Ukraine

来源：

CARPATHIAN MATHEMATICAL PUBLICATIONS | 2019年 / 11卷 / 02期

关键词：

symmetric and supersymmetric polynomials on Banach spaces; algebras of analytic functions on Banach spaces; spectra algebras of analytic functions; SPECTRA; CONVOLUTION;

D O I：

10.15330/cmp.11.2.335-344

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a weighted direct sum of infinity many copies of complex spaces l(1) circle plus l(1). We consider an algebra consisting of polynomials on X which are supersymmetric on each term l(1) circle plus l(1). Point evaluation functionals on such algebra gives us a relation of equivalence 'similar to' on X. We investigate the quotient set X/similar to and show that under some conditions, it has a real topological algebra structure.

引用

页码：335 / 344

页数：10

共 13 条

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