The Spectrum Of Elementary Operators And The Structure Problem Of Banach Spaces

Master thesis " The spectrum of elementary operators Sφφand the structure problem of Banach spaces " is the organic combinative result of the study on the theory of Banach space and the operator theory of functional analysis.There are four chapters in the paper. Chapter 1 mainly introduces some basic results about the paper, including some conceptions and notations needed in the following chapters; chapter 2 is on elaborate structure and the relationship with T of the spetrum about Sφφoperators; chapter 3,under variety of topology,is on the spaces about separable quotient; in the chapter 4,a new kind of operator's numerical range is definted and it's some properies are discussed.