ELA
POLYNOMIAL INEQUALITIES FOR NON-COMMUTING
OPERATORS
∗JOHN E. MCCARTHY† AND RICHARD M. TIMONEY‡
Abstract. We prove an inequality for polynomials applied in a symmetric way to non-commuting operators.
Key words. Ando inequality, Non-commuting, Symmetric functional calculus.
AMS subject classifications.15A60.
∗Received by the editors April 13, 2010. Accepted for publication August 8, 2010. Handling
Editor: Harm Bart.
†Washington University, St. Louis and Trinity College, Dublin (mccarthy@wustl.edu). Partially
supported by National Science Foundation Grants DMS 0501079 and DMS 0966845.
‡Trinity College, Dublin (richardt@maths.tcd.ie).
Electronic Journal of Linear Algebra ISSN 1081-3810 A publication of the International Linear Algebra Society Volume 20, pp. 506-518, August 2010