Analytic structure on the spectrum of the algebra of symmetric analytic functions on L∞

被引：0

作者：

Galindo, Pablo ^{[1
]}

Vasylyshyn, Taras ^{[2
]}

Zagorodnyuk, Andriy ^{[2
]}

机构：

[1] Univ Valencia, Dept Anal Matemat, E-46100 Valencia, Spain

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

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2020年 / 114卷 / 02期

关键词：

Symmetric analytic functions on Banach spaces; Frechet algebras; Primary; 47A16; Secondary; 46E10; 46E50; CONVOLUTION;

D O I：

10.1007/s13398-020-00791-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the subalgebra Hbs(L infinity) of analytic functions of bounded type on L infinity [0,1] which are symmetric, i.e. invariant, with respect to measurable bijections of [0, 1] that preserve the measure. Our main result is that Hbs(L infinity) is isomorphic to the algebra of all analytic functions on the strong dual of the space of entire functions on the complex plane C. From this result we deduce that Hbs(L infinity) is a test algebra for Michael problem about the continuity of complex valued homomorphisms on Frechet algebras.

引用

页数：13

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