On Vector-Valued Banach Function Algebras

被引：0
|
作者：
Mahyar, Hakimeh [1 ]
Esmaeili, Kobra [2 ]
机构：
[1] Kharazmi Univ, Dept Math, 50 Taleghani Ave, Tehran 15618, Iran
[2] Ardakan Univ, Fac Engn, Ardakan 8951895491, Yazd, Iran
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2022年 / 48卷 / 01期
关键词：
Vector-valued Banach function algebra; Vector-valued Lipschitz algebra; Algebra of vector-valued differentiable (Lipschitz) functions; Maximal ideal space; Silov boundary; Approximation; Vector-valued polynomials and rational functions;
D O I：
10.1007/s41980-020-00504-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider vector-valued Banach function algebras on a compact Hausdorff space. Then, we define the subalgebras generated by vector-valued polynomials and rational functions, and determine their maximal ideal spaces and Silov boundaries. We finally make use the results for a certain category of these algebras such as vector-valued Lipschitz algebras, vector-valued Dales-Davie algebras (algebras of vector-valued differentiable functions) and the algebras of vector-valued differentiable Lipschitz functions.
引用
收藏
页码：111 / 125
页数：15
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