本論文的對象是由賦範向量空間到賦範向量空間的對偶空間的線性或共軛線性算子，我們稱這種算子為＊-算子。對這種算子，我們定義了它的＊-伴隨算子。＊-伴隨算子的定義域較傳統的伴隨算子的定義域為小，卻因此可引入從一賦範向量空間到它的對偶空間的算子的自伴隨性，大大地擴張了自伴隨性的適用範圍，＊-伴隨算子的引入是參考了希爾伯特空間上伴隨算子的特殊性，目的在縮小它和一般賦範向量空間的算子的伴隨算子的差異性。這篇論文主要的目的是對＊-伴隨算子做初步的討論。

The object in the present paper is a linear operator or a conjugate linear operator, which is defined from a normed vector space into the dual space of a normed vector space. We call it ＊-operator. For this operator, we define its ＊-adjoint operator. The domain of ＊-adjoint operator compares the domain of traditional adjoint operator to be small, but we can introduce the self-adjoint operator defined from a normed vector space into its dual space. This expanded greatly the applicable situation of a self-adjoint operator. ＊-adjoint operator's introduction has referred to the particularity of adjoint operator in the Hilbert space, and the purpose is to reduce the difference between it and the operator's adjoint operator of general normed vector space. The present study aims to investigate the initial properties of the ＊-adjoint operator.

目錄
第一章 前言.........................1

第二章 有界＊-算子..................6

第三章 無界＊-算子.................12

第四章 結論........................15

參考文獻...........................17

參考文獻
[1] Kôsaku Yosida, Functional Analysis, Sixth Edition, Springer Verlag, New York, 1980.
[2] Martin Schechter, Operator Methods in Quantum Mechanics, North-Holland, New York, 1981.
[3] Walter Rudin, Functional analysis, McGraw-Hill, New York, 1973.