We examine von Newmann type inequalities for homogeneous polynomials in several commuting operators on a complex Hilbert space. Our result simplfy considerably and improve slightly works of Varopoulos. We also generalise theorems of Dixon.
On the failure of Von Neumann's inequality
MANTERO, ANNA MARIA;
1976-01-01
Abstract
We examine von Newmann type inequalities for homogeneous polynomials in several commuting operators on a complex Hilbert space. Our result simplfy considerably and improve slightly works of Varopoulos. We also generalise theorems of Dixon.
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