One-point Gleason parts and point derivations in uniform algebras

被引：1
|
作者：
Ghosh, Swarup N. [1 ]
Izzo, Alexander J. [2 ]
机构：
[1] Southwestern Oklahoma State Univ, Dept Math, Weatherford, OK 73096 USA
[2] Bowling Green State Univ, Dept Math & Stat, Bowling Green, OH 43403 USA
来源：
STUDIA MATHEMATICA | 2023年 / 270卷 / 03期
关键词：
uniform algebra; Gleason part; point derivation; root extension;
D O I：
10.4064/sm220729-12-12
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that a uniform algebra can have a nonzero bounded point derivation while having no nontrivial Gleason parts. Conversely, a uniform algebra can have a nontrivial Gleason part while having no nonzero, even possibly unbounded, point derivations.
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页码：323 / 337
页数：15
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