Reflexivity of spaces of linear operators and spaces of homogeneous polynomials

by Miyamura, Mauricio Yudi

Abstract (Summary)
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
This document abstract is also available in Portuguese.
Bibliographical Information:

Advisor:Jorge Tulio Mujica Ascui; Jorge Tulio Mujica Ascui [Orientador]; Mary Lilian Lourenço; Ary Orozimbo Chiacchio

School:Universidade Estadual de Campinas

School Location:Brazil

Source Type:Master's Thesis

Keywords:Produto tensorial Banach space Linear operators Tensor products


Date of Publication:03/05/2007

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