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博碩士論文 etd-0626106-202528 詳細資訊
Title page for etd-0626106-202528
論文名稱
Title
半單調巴赫納代數上的區部自同構算子
Local automorphism of semisimple Banach algebras
系所名稱
Department
畢業學年期
Year, semester
語文別
Language
學位類別
Degree
頁數
Number of pages
18
研究生
Author
指導教授
Advisor
召集委員
Convenor
口試委員
Advisory Committee
口試日期
Date of Exam
2006-06-16
繳交日期
Date of Submission
2006-06-26
關鍵字
Keywords
局部自同構算子
local automorphism, socle
統計
Statistics
本論文已被瀏覽 5705 次,被下載 2036
The thesis/dissertation has been browsed 5705 times, has been downloaded 2036 times.
中文摘要
一個從代數A映射到代數A本身的算子θ,算子θ本身不一定具備有線性,連續性和乘法跟映射的可交換性。如果算子θ作用在代數空間A上的每個點a,都可以找到一個代數空間A的自同構映射算子θa,使得滿足θ(a)=θa(a)。那麼算子θ就被叫做代數A的區部自同構算子。在此篇論文中,我們討論的問題是在什麼樣的情況下,作用在半單調巴納赫代數的局部自同構算子會是喬登同構算子。並且在此篇論文中,代數不一定擁有乘法單位元,但是擁有乘法結合律。
Abstract
A not necessarily continuous, linear or multiplicative
function θ from an algebra A into itself is called a local
automorphism if θ agrees with an automorphism of A at
each point in $A$. In this paper, we study the question when a local automorphism of a semisimple Banach algebra, is a Jordan isomorphism. Also a algebra is not necessary unital, but be implicitly assumed to be associative.
目次 Table of Contents
1.Introduction 1
2.Preliminary 3
3.Conclusion and Main Result 8
參考文獻 References
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