#### Document Type

Dataset

#### Publication Date

12-2-2013

#### Abstract

We find estimates on the norm of a commutator of the form [f(x),y] in terms of the norm of [x,y], assuming that x and y are bounded linear operators on Hilbert space, with x normal and with spectrum within the domain of f. In particular we discuss |[x^2,y]| and |[x^{1/2},y]| for 0leq x leq 1. For larger values of delta = |[x,y]| we can rigorous calculate the best possible upper bound |[f(x),y]| leq eta_f(delta) for many f. In other cases we have conducted numerical experiments that strongly suggest that we have in many cases found the correct formula for the best upper bound.

#### Handle

http://hdl.handle.net/1928/23461

#### Recommended Citation

Loring, Terry A., Freddy Vides (2013): Estimating norms of commutators [dataset]. University of New Mexico. http://hdl.handle.net/1928/23461

## Comments

Matlab code used to create test data in "Estimating norms of commutators."