Sentence examples for functions of commuting from inspiring English sources

1.10 Functions of commuting self-adjoint operators.

3.8 triple operator integrals with integrands in Haagerup-like tensor products to estimates trace norms of commutators of functions of almost commuting operators.

We also use triple operator integrals to estimate the trace norms of commutators of functions of almost commuting self-adjoint operators and extend the Helton Howe trace formula for arbitrary functions in the Besov space (B_{infty,1}^1({mathbb R}^2)).

The aim of this paper is to define functions of several commuting and non-commuting self-adjoint pseudo-differential operators of non-positive order, by means of the H. Weyl formula[formula]Given 1<p<∞, the pseudo-differential operators under consideration belong to the Hörmander classLmρ, δ,m⩽−n(1−ρ|(1/p)−(1/2)|, 0<ρ⩽1, 0⩽δ<1,δ⩽ρand act on functions defined on the euclidean space Rn.

This is equivalent to considering functions of pairs of commuting self-adjoint operators.

Finally, we consider in Chapter 1 estimates of functions of normal operators and functions of d-tuples of commuting self-adjoint operators under perturbations.

We also consider similar problems for functions of normal operators and for functions of m-tuples of commuting self-adjoint operators.

Finally, we consider perturbations of functions of normal operators and perturbations of functions of m-tuples of commuting self-adjoint operators.

In this section we are going to study functions of d-tuples of commuting self-adjoint operators.

There will be less separation of functions, less commuting, less travel generally.

It's partly a function of transportation, jobs, the difficulty of commuting, or whatever, but it's also a function of life style.