Reflexivity of spaces of linear operators and spaces of homogeneous polynomials

by Miyamura, Mauricio Yudi

Let E and F be Banach spaces. The main results in this work are theorems concerning the reflexivity of L (E; F) and P (mE; F). In Chapter 2, we study basic concepts of the theory of tensor products of Banach spaces. The importance of Chapter 2 will be, essentially, the identification of the space of continuous linear operators L(E; F) with the dual of the projective tensor product E ÄpF?. In Chapter 3, that deals with homogeneous polynomials, we include basic definitions and results and we study a linearization theorem that will allow to transfer results from spaces of linear operators to spaces of homogeneous polynomials