Non-commutative holomorphic functions in elements of a Lie algebra and the absolute basis problem

被引：3
|
作者：
Dosi , A. A. [1 ]
机构：
[1] Middle E Tech Univ, Ankara, Turkey
来源：
IZVESTIYA MATHEMATICS | 2009年 / 73卷 / 06期
关键词：
holomorphic functions in elements of a Lie algebra; Arens Michael envelope; localization; SPECTRA;
D O I：
10.1070/IM2009v073n06ABEH002476
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the absolute basis problem in algebras of holomorphic functions in non-commuting variables generating a finite-dimensional nilpotent Lie algebra g. This is motivated by J. L. Taylor's programme of non-commutative holomorphic functional calculus in the Lie algebra framework.
引用
收藏
页码：1149 / 1171
页数：23
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