在這篇論文?堙A我們研究的問題是，連續函數或更一般的算子代數，當他們具有局部自同構時，他們就是一個自同構。而且我們也研究了如何將一個具有n-保分離的算子寫成局部性保分離算子的有限和。

In this thesis, we study the question when a local automorphism of continuous functions, or in general, of an operator algebra, is an automorphism. We also study the question how to write an n-disjointness preserving operator as a finite sum of orthomorphisms locally.

Chapter 1: Introduction 1
Chapter 2: Local Automorphisms of Operator Algebras 4
2.1 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
2.2 Local Automorphisms of W -algebras . . . . . . . . . . . . . . . . . . . . . 6
2.3 Local Automorphisms of C -algebras . . . . . . . . . . . . . . . . . . . . . 8
Chapter 3: Local Orthomorphisms of Continuous Functions 12
3.1 Preliminaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
3.2 A Counter Example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
3.3 Sums of Disjointness Preserving Operators . . . . . . . . . . . . . . . . . . 15
3.4 Characterization of Local n-Orthomorphisms on C(X) . . . . . . . . . . . . 20
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24

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