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arXiv · 0909.2640

A Note on Values of Noncommutative Polynomials

Matej Bresar·Igor Klep
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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.

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Matej Bresar, Igor Klep. 2009-09-14. A Note on Values of Noncommutative Polynomials. https://doi.org/10.1090/s0002-9939-10-10324-4

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