A Note on Values of Noncommutative Polynomials
Operator Algebras
2011-04-19 v1 Rings and Algebras
Abstract
We find a class of algebras A satisfying the following property: for every nontrivial noncommutative polynomial, the linear span of all its values in A equals A. This class includes the algebras of all bounded and all compact operators on an infinite dimensional Hilbert space.
Cite
@article{arxiv.0909.2640,
title = {A Note on Values of Noncommutative Polynomials},
author = {Matej Bresar and Igor Klep},
journal= {arXiv preprint arXiv:0909.2640},
year = {2011}
}
Comments
4 pages