- 1.1k Downloads
In this chapter we study the spaces of bilinear forms and operators that can be generated from a tensor norm. For each tensor norm α, we have the α-integral and the α-nuclear forms or operators. We introduce the concept of a Banach operator ideal and we develop just enough of the theory to explain the relationship between tensor norms and operator ideals. In particular, we see that the α-integral and α-nuclear classes constitute the maximal and minimal ideals respectively.
KeywordsBanach Space Bilinear Form Operator Ideal Approximation Property Finite Dimensional Space
Unable to display preview. Download preview PDF.