A study of analytic functions and Dunford-Pettis-Phillips Theorem

• Main Authors: Yung-Chi Lie, 李永吉
• Other Authors: R.T. Kuo
• Format: Others
• Language: en_US
• Published: 1994
• Online Access: http://ndltd.ncl.edu.tw/handle/64874913666033617502

碩士 === 國立中興大學 === 應用數學研究所 === 82 === This thesis studies the some prpperties and concepts of vector- valued analytic functions and Dunford-Pettis-Phillips Theorem, and from different spaces to introducte a little new definitions, to understand wherther change for the vector- valued analytic functions and Dunford-Pettis-Phillips Theorem which those properties? Next, when f is Bochner integrable, the two integrals(strongly integral, weakly integral) coincide. Hence integral sign and continuous linear functional are interchangable. At last we apply the definitions of Banach- valued analytic functions in a complex plane, to discuss the properties of Banach-valued analytic functions in a complex plane. In the meantime, we will make a simple expansion for the Dunford-Pettis-Phillips Theorem.