Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415182 | Journal of Functional Analysis | 2014 | 33 Pages |
Abstract
The aim of this article is to start a metric theory of homogeneous polynomials in the category of operator spaces. For this purpose we take advantage of the basic fact that the space Pm(E) of all m-homogeneous polynomials on a vector space E can be identified with the algebraic dual of the m-th symmetric tensor product âm,sE. Given an operator space V, we study several different types of completely bounded polynomials on V which form the operator space duals of âm,sV endowed with related operator structures. Of special interest are what we call Haagerup, Kronecker, and Schur polynomials - polynomials associated with different types of matrix products.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Andreas Defant, Dirk Wiesner,