ON THE CLOSURE OF LINEAR COMBINATION OF TWO SUBALGEBRAS OF CONTINUOUS FUNCTIONS

被引：0

作者：

Turovskii, Andrew ^{[1
]}

机构：

[1] NAS Azerbaijan, Inst Math & Mech, 9 F Agayev Str, AZ-1141 Baku, Azerbaijan

来源：

PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS | 2005年 / 23卷 / 31期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a set of continuous real or complex functions defined on a compact K. In this work we study conditions for which the closure (A) over bar is the algebra C(K) of all continuous functions on K. In [1] the case of a subalgebra of real functions and in [2] the case when A is a lattice that is the sum of two subalgebras of real functions were considered. For complex functions, see also [1] for the case when A is the sum of a subalgebra and its complex adjoint one and, simultaneously, (A) over bar is a subalgebra itself. Here we consider the cases of the sum of two subalrebras and of linear combinations of two subalgebras.

引用

页码：121 / 126

页数：6

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