p-ADIC BANACH SPACE OPERATORS AND ADELIC BANACH SPACE OPERATORS

被引：9

作者：

Cho, Ilwoo ^{[1
]}

机构：

[1] St Ambrose Univ, Dept Math, 421 Ambrose Hall,518 W Locust St, Davenport, IA 52803 USA

来源：

OPUSCULA MATHEMATICA | 2014年 / 34卷 / 01期

关键词：

prime fields; p-adic number fields; adele ring; p-adic Banach spaces; adelic Banach space; p-adic operators; adelic operators;

D O I：

10.7494/OpMath.2014.34.1.29

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study non-Archimedean Banach *-algebras M-p over the p-adic number fields Q(p); and M-Q over the adele ring A(Q). We call elements of M-p, p-adic operators, for all primes p; respectively, call those of M-Q; adelic operators. We characterize M-Q in terms of M (p)'s. Based on such a structure theorem of M-Q; we introduce some interesting p-adic operators and adelic operators.

引用

页码：29 / 65

页数：37